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9842140296 = 23321917940193
BaseRepresentation
bin10010010101010001…
…10010010010001000
3221101220201112022200
421022220302102020
5130124041442141
64304343120200
7465616545402
oct111250622210
927356645280
109842140296
1141a06a474a
121aa8143060
13c0b098c71
146951cdb72
153c90c9ab6
hex24aa32488

9842140296 has 96 divisors (see below), whose sum is σ = 28216188000. Its totient is φ = 3090604032.

The previous prime is 9842140229. The next prime is 9842140309. The reversal of 9842140296 is 6920412489.

It is a super-2 number, since 2×98421402962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224776 + ... + 264968.

It is an arithmetic number, because the mean of its divisors is an integer number (293918625).

Almost surely, 29842140296 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 9842140296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108094000).

9842140296 is an abundant number, since it is smaller than the sum of its proper divisors (18374047704).

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

9842140296 is a wasteful number, since it uses less digits than its factorization.

9842140296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40403 (or 40396 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9842140296 is about 99207.5616876052. The cubic root of 9842140296 is about 2143.0378940712.

The spelling of 9842140296 in words is "nine billion, eight hundred forty-two million, one hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 179 228 342 358 456 537 684 716 1074 1368 1432 1611 2148 3222 3401 4296 6444 6802 10203 12888 13604 20406 27208 30609 40193 40812 61218 80386 81624 120579 122436 160772 241158 244872 321544 361737 482316 723474 763667 964632 1446948 1527334 2291001 2893896 3054668 4582002 6109336 6873003 7194547 9164004 13746006 14389094 18328008 21583641 27492012 28778188 43167282 54984024 57556376 64750923 86334564 129501846 136696393 172669128 259003692 273392786 410089179 518007384 546785572 820178358 1093571144 1230267537 1640356716 2460535074 3280713432 4921070148 9842140296