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4071374939360 = 255113544141387
BaseRepresentation
bin111011001111110000110…
…110110110010011100000
3112102012221010020022000202
4323033300312312103200
51013201133441024420
612354210330404332
7600101315661251
oct73176066662340
915365833208022
104071374939360
11132a72a015a63
125590872906a8
13236c10058b71
141010ac7c2b28
1570d8c160575
hex3b3f0db64e0

4071374939360 has 96 divisors (see below), whose sum is σ = 9705761809632. Its totient is φ = 1613802373120.

The previous prime is 4071374939341. The next prime is 4071374939371. The reversal of 4071374939360 is 639394731704.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4071374939296 and 4071374939305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98352587 + ... + 98393973.

It is an arithmetic number, because the mean of its divisors is an integer number (101101685517).

Almost surely, 24071374939360 is an apocalyptic number.

4071374939360 is a gapful number since it is divisible by the number (40) 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 4071374939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852880904816).

4071374939360 is an abundant number, since it is smaller than the sum of its proper divisors (5634386870272).

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

4071374939360 is a wasteful number, since it uses less digits than its factorization.

4071374939360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46956 (or 46948 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 56.

The spelling of 4071374939360 in words is "four trillion, seventy-one billion, three hundred seventy-four million, nine hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 5441 9040 10882 18080 21764 27205 41387 43528 54410 82774 87056 108820 165548 174112 206935 217640 331096 413870 435280 614833 662192 827740 870560 1229666 1324384 1655480 2459332 3074165 3310960 4676731 4918664 6148330 6621920 9353462 9837328 12296660 18706924 19674656 23383655 24593320 37413848 46767310 49186640 74827696 93534620 98373280 149655392 187069240 225186667 374138480 450373334 748276960 900746668 1125933335 1801493336 2251866670 3602986672 4503733340 7205973344 9007466680 18014933360 25446093371 36029866720 50892186742 101784373484 127230466855 203568746968 254460933710 407137493936 508921867420 814274987872 1017843734840 2035687469680 4071374939360