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42013522240 = 265235708359
BaseRepresentation
bin100111001000001100…
…110111100101000000
311000102222212001202021
4213020030313211000
51142020430202430
631144543331224
73015064022014
oct471014674500
9130388761667
1042013522240
11168aa5a1108
1281862b0b14
133c67282741
142067b86544
15115d66b07a
hex9c8337940

42013522240 has 56 divisors (see below), whose sum is σ = 104394487680. Its totient is φ = 16074736128.

The previous prime is 42013522219. The next prime is 42013522249. The reversal of 42013522240 is 4222531024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013522249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846820 + ... + 2861539.

It is an arithmetic number, because the mean of its divisors is an integer number (1864187280).

Almost surely, 242013522240 is an apocalyptic number.

42013522240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42013522240 is an abundant number, since it is smaller than the sum of its proper divisors (62380965440).

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

42013522240 is a wasteful number, since it uses less digits than its factorization.

42013522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708399 (or 5708389 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 42013522240 in words is "forty-two billion, thirteen million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 5708359 11416718 22833436 28541795 45666872 57083590 91333744 114167180 131292257 182667488 228334360 262584514 365334976 456668720 525169028 656461285 913337440 1050338056 1312922570 1826674880 2100676112 2625845140 4201352224 5251690280 8402704448 10503380560 21006761120 42013522240