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60114554240 = 2751341176227
BaseRepresentation
bin110111111111000110…
…110100110110000000
312202011111010202121212
4313333012310312000
51441103311213430
643341035305252
74225460165036
oct677706646600
9182144122555
1060114554240
112354910a394
12b7982ab228
1358903c8470
142ca3b92556
15186c82eb95
hexdff1b4d80

60114554240 has 128 divisors (see below), whose sum is σ = 158541757920. Its totient is φ = 21654650880.

The previous prime is 60114554221. The next prime is 60114554257. The reversal of 60114554240 is 4245541106.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×601145542402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 60114554197 and 60114554206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253007 + ... + 429233.

Almost surely, 260114554240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60114554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79270878960).

60114554240 is an abundant number, since it is smaller than the sum of its proper divisors (98427203680).

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

60114554240 is a wasteful number, since it uses less digits than its factorization.

60114554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176300 (or 176288 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 60114554240 in words is "sixty billion, one hundred fourteen million, five hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 128 130 160 164 205 208 260 320 328 410 416 520 533 640 656 820 832 1040 1066 1312 1640 1664 2080 2132 2624 2665 3280 4160 4264 5248 5330 6560 8320 8528 10660 13120 17056 21320 26240 34112 42640 68224 85280 170560 176227 341120 352454 704908 881135 1409816 1762270 2290951 2819632 3524540 4581902 5639264 7049080 7225307 9163804 11278528 11454755 14098160 14450614 18327608 22557056 22909510 28196320 28901228 36126535 36655216 45819020 56392640 57802456 72253070 73310432 91638040 93928991 112785280 115604912 144506140 146620864 183276080 187857982 231209824 289012280 293241728 366552160 375715964 462419648 469644955 578024560 733104320 751431928 924839296 939289910 1156049120 1466208640 1502863856 1878579820 2312098240 3005727712 3757159640 4624196480 6011455424 7514319280 12022910848 15028638560 30057277120 60114554240