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245153500040 = 2351712724111779
BaseRepresentation
bin1110010001010001001…
…0011000101110001000
3212102210011120011000202
43210110102120232020
513004033244000130
6304342202151332
723466063240161
oct3442422305610
9772704504022
10245153500040
1194a7283a089
123b6194b2548
131a16bc86337
14bc18caa768
15659c5d4145
hex3914498b88

245153500040 has 128 divisors (see below), whose sum is σ = 591133593600. Its totient is φ = 91178680320.

The previous prime is 245153500037. The next prime is 245153500069. The reversal of 245153500040 is 40005351542.

It is a junction number, because it is equal to n+sod(n) for n = 245153499976 and 245153500012.

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, 20806871 + ... + 20818649.

It is an arithmetic number, because the mean of its divisors is an integer number (4618231200).

Almost surely, 2245153500040 is an apocalyptic number.

245153500040 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 245153500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295566796800).

245153500040 is an abundant number, since it is smaller than the sum of its proper divisors (345980093560).

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

245153500040 is a wasteful number, since it uses less digits than its factorization.

245153500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 245153500040 its reverse (40005351542), we get a palindrome (285158851582).

The spelling of 245153500040 in words is "two hundred forty-five billion, one hundred fifty-three million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 241 254 340 482 508 635 680 964 1016 1205 1270 1928 2159 2410 2540 4097 4318 4820 5080 8194 8636 9640 10795 11779 16388 17272 20485 21590 23558 30607 32776 40970 43180 47116 58895 61214 81940 86360 94232 117790 122428 153035 163880 200243 235580 244856 306070 400486 471160 520319 612140 800972 1001215 1040638 1224280 1495933 1601944 2002430 2081276 2601595 2838739 2991866 4004860 4162552 5203190 5677478 5983732 7479665 8009720 10406380 11354956 11967464 14193695 14959330 20812760 22709912 25430861 28387390 29918660 48258563 50861722 56774780 59837320 96517126 101723444 113549560 127154305 193034252 203446888 241292815 254308610 360519853 386068504 482585630 508617220 721039706 965171260 1017234440 1442079412 1802599265 1930342520 2884158824 3605198530 6128837501 7210397060 12257675002 14420794120 24515350004 30644187505 49030700008 61288375010 122576750020 245153500040