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245054321352240 = 24353133838517419
BaseRepresentation
bin110111101110000000100111…
…110001100101111000110000
31012010122222000222212210202220
4313232000213301211320300
5224104432222231232430
62225104222345241040
7102421406346123021
oct6756004761457060
91163588028783686
10245054321352240
1171099a54939914
1223599204493180
13a6976a5a4487a
14447299a09ac48
151d4e65a423110
hexdee027c65e30

245054321352240 has 160 divisors (see below), whose sum is σ = 764085346836480. Its totient is φ = 64968956602368.

The previous prime is 245054321352233. The next prime is 245054321352251. The reversal of 245054321352240 is 42253123450542.

245054321352240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245054321352192 and 245054321352201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24512251 + ... + 33029669.

It is an arithmetic number, because the mean of its divisors is an integer number (4775533417728).

Almost surely, 2245054321352240 is an apocalyptic number.

245054321352240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245054321352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382042673418240).

245054321352240 is an abundant number, since it is smaller than the sum of its proper divisors (519031025484240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245054321352240 is a wasteful number, since it uses less digits than its factorization.

245054321352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518131 (or 8518125 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 245054321352240 in words is "two hundred forty-five trillion, fifty-four billion, three hundred twenty-one million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 383 626 766 939 1149 1252 1532 1565 1878 1915 2298 2504 3064 3130 3756 3830 4596 4695 5008 5745 6128 6260 7512 7660 9192 9390 11490 12520 15024 15320 18384 18780 22980 25040 30640 37560 45960 75120 91920 119879 239758 359637 479516 599395 719274 959032 1198790 1438548 1798185 1918064 2397580 2877096 3596370 4795160 5754192 7192740 8517419 9590320 14385480 17034838 25552257 28770960 34069676 42587095 51104514 68139352 85174190 102209028 127761285 136278704 170348380 204418056 255522570 340696760 408836112 511045140 681393520 1022090280 2044180560 2665952147 3262171477 5331904294 6524342954 7997856441 9786514431 10663808588 13048685908 13329760735 15995712882 16310857385 19573028862 21327617176 26097371816 26659521470 31991425764 32621714770 39146057724 39989282205 42655234352 48932572155 52194743632 53319042940 63982851528 65243429540 78292115448 79978564410 97865144310 106638085880 127965703056 130486859080 156584230896 159957128820 195730288620 213276171760 260973718160 319914257640 391460577240 639828515280 782921154480 1021059672301 2042119344602 3063179016903 4084238689204 5105298361505 6126358033806 8168477378408 10210596723010 12252716067612 15315895084515 16336954756816 20421193446020 24505432135224 30631790169030 40842386892040 49010864270448 61263580338060 81684773784080 122527160676120 245054321352240