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42441027344016 = 2437219949718657
BaseRepresentation
bin10011010011001100100100…
…10110111101011010010000
312120021022201011112020211020
421221212102112331122100
521030323211000002031
6230133045551515440
711640156136111500
oct1151462226753220
9176238634466736
1042441027344016
1112583158556034
124915432228b80
131a8b230311992
14a6a229d23a00
154d8ec63ad096
hex2699925bd690

42441027344016 has 120 divisors (see below), whose sum is σ = 134252229494880. Its totient is φ = 11487796862976.

The previous prime is 42441027344011. The next prime is 42441027344033. The reversal of 42441027344016 is 61044372014424.

It is a super-2 number, since 2×424410273440162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42441027344011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474814641 + ... + 474904016.

It is an arithmetic number, because the mean of its divisors is an integer number (1118768579124).

Almost surely, 242441027344016 is an apocalyptic number.

It is an amenable number.

42441027344016 is an abundant number, since it is smaller than the sum of its proper divisors (91811202150864).

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

42441027344016 is a wasteful number, since it uses less digits than its factorization.

42441027344016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949718701 (or 949718688 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 42441027344016 in words is "forty-two trillion, four hundred forty-one billion, twenty-seven million, three hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688 949718657 1899437314 2849155971 3798874628 5698311942 6648030599 7597749256 11396623884 13296061198 15195498512 18044654483 19944091797 22793247768 26592122396 36089308966 39888183594 45586495536 46536214193 53184244792 54133963449 72178617932 79776367188 93072428386 106368489584 108267926898 126312581381 139608642579 144357235864 159552734376 186144856772 216535853796 252625162762 279217285158 288714471728 319105468752 372289713544 378937744143 433071707592 505250325524 558434570316 744579427088 757875488286 866143415184 884188069667 1010500651048 1116869140632 1515750976572 1768376139334 2021001302096 2233738281264 2652564209001 3031501953144 3536752278668 5305128418002 6063003906288 7073504557336 10610256836004 14147009114672 21220513672008 42441027344016