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60140948100 = 223524310345263
BaseRepresentation
bin111000000000101011…
…100000101010000100
312202020022210201012020
4320000223200222010
51441132040314400
643343421123140
74226230424052
oct700053405204
9182208721166
1060140948100
1123561aa74a2
12b7a50b94b0
135895a09c2c
142ca74a31d2
15186ece52a0
hexe00ae0a84

60140948100 has 144 divisors (see below), whose sum is σ = 179787159552. Its totient is φ = 15512192640.

The previous prime is 60140948099. The next prime is 60140948107. The reversal of 60140948100 is 184904106.

It is a super-2 number, since 2×601409481002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60140948107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306069 + ... + 1351331.

Almost surely, 260140948100 is an apocalyptic number.

60140948100 is a gapful number since it is divisible by the number (60) 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 60140948100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89893579776).

60140948100 is an abundant number, since it is smaller than the sum of its proper divisors (119646211452).

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

60140948100 is a wasteful number, since it uses less digits than its factorization.

60140948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45426 (or 45419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 60140948100 in words is "sixty billion, one hundred forty million, nine hundred forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 103 129 150 172 206 215 258 300 309 412 430 515 516 618 645 860 1030 1075 1236 1290 1545 2060 2150 2575 2580 3090 3225 4300 4429 5150 6180 6450 7725 8858 10300 12900 13287 15450 17716 22145 26574 30900 44290 45263 53148 66435 88580 90526 110725 132870 135789 181052 221450 226315 265740 271578 332175 442900 452630 543156 664350 678945 905260 1131575 1328700 1357890 1946309 2263150 2715780 3394725 3892618 4526300 4662089 5838927 6789450 7785236 9324178 9731545 11677854 13578900 13986267 18648356 19463090 23310445 23355708 27972534 29194635 38926180 46620890 48657725 55945068 58389270 69931335 93241780 97315450 116552225 116778540 139862670 145973175 194630900 200469827 233104450 279725340 291946350 349656675 400939654 466208900 583892700 601409481 699313350 801879308 1002349135 1202818962 1398626700 2004698270 2405637924 3007047405 4009396540 5011745675 6014094810 10023491350 12028189620 15035237025 20046982700 30070474050 60140948100