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421140274304 = 27171276772251
BaseRepresentation
bin1100010000011011110…
…10101001110010000000
31111021000222201120112012
412020031322221302000
523344443402234204
6521245201352052
742266151160541
oct6101572516200
91437028646465
10421140274304
11152671784382
1269753038628
13309373282a9
1416551aac4c8
15ae4c80376e
hex620dea9c80

421140274304 has 128 divisors (see below), whose sum is σ = 897058437120. Its totient is φ = 196245504000.

The previous prime is 421140274259. The next prime is 421140274327. The reversal of 421140274304 is 403472041124.

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

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

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, 187089179 + ... + 187091429.

It is an arithmetic number, because the mean of its divisors is an integer number (7008269040).

Almost surely, 2421140274304 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 421140274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448529218560).

421140274304 is an abundant number, since it is smaller than the sum of its proper divisors (475918162816).

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

421140274304 is a wasteful number, since it uses less digits than its factorization.

421140274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 421140274304 in words is "four hundred twenty-one billion, one hundred forty million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 272 508 544 677 1016 1088 1354 2032 2159 2176 2251 2708 4064 4318 4502 5416 8128 8636 9004 10832 11509 16256 17272 18008 21664 23018 34544 36016 38267 43328 46036 69088 72032 76534 85979 86656 92072 138176 144064 153068 171958 184144 276352 285877 288128 306136 343916 368288 571754 612272 687832 736576 1143508 1224544 1375664 1461643 1473152 1523927 2287016 2449088 2751328 2923286 3047854 4574032 4859909 4898176 5502656 5846572 6095708 9148064 9719818 11005312 11693144 12191416 18296128 19439636 23386288 24382832 25906759 36592256 38879272 46772576 48765664 51813518 77758544 93545152 97531328 103627036 155517088 187090304 193538729 195062656 207254072 311034176 387077458 414508144 622068352 774154916 829016288 1548309832 1658032576 3096619664 3290158393 3316065152 6193239328 6580316786 12386478656 13160633572 24772957312 26321267144 52642534288 105285068576 210570137152 421140274304