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42404103331344 = 24321941936989441
BaseRepresentation
bin10011010010000111110011…
…00001000001111000010000
312120010210101212111001200100
421221003321201001320100
521024222100423100334
6230104102014052400
711634411132144666
oct1151037141017020
9176123355431610
1042404103331344
111256952a948887
12490a2484aa100
131a878c75ca781
14a6852609cc36
154d8064979c99
hex2690f9841e10

42404103331344 has 120 divisors (see below), whose sum is σ = 125216659058400. Its totient is φ = 13358810234880.

The previous prime is 42404103331339. The next prime is 42404103331357. The reversal of 42404103331344 is 44313330140424.

42404103331344 is a `hidden beast` number, since 4 + 240 + 4 + 10 + 33 + 31 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42404103331299 and 42404103331308.

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, 17348337 + ... + 19641104.

It is an arithmetic number, because the mean of its divisors is an integer number (1043472158820).

Almost surely, 242404103331344 is an apocalyptic number.

It is an amenable number.

42404103331344 is an abundant number, since it is smaller than the sum of its proper divisors (82812555727056).

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

42404103331344 is a wasteful number, since it uses less digits than its factorization.

42404103331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36989893 (or 36989884 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 42404103331344 its reverse (44313330140424), we get a palindrome (86717433471768).

The spelling of 42404103331344 in words is "forty-two trillion, four hundred four billion, one hundred three million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 419 456 684 838 912 1257 1368 1676 2514 2736 3352 3771 5028 6704 7542 7961 10056 15084 15922 20112 23883 30168 31844 47766 60336 63688 71649 95532 127376 143298 191064 286596 382128 573192 1146384 36989441 73978882 110968323 147957764 221936646 295915528 332904969 443873292 591831056 665809938 702799379 887746584 1331619876 1405598758 1775493168 2108398137 2663239752 2811197516 4216796274 5326479504 5622395032 6325194411 8433592548 11244790064 12650388822 15498575779 16867185096 25300777644 30997151558 33734370192 46495727337 50601555288 61994303116 92991454674 101203110576 123988606232 139487182011 185982909348 247977212464 278974364022 294472939801 371965818696 557948728044 588945879602 743931637392 883418819403 1115897456088 1177891759204 1766837638806 2231794912176 2355783518408 2650256458209 3533675277612 4711567036816 5300512916418 7067350555224 10601025832836 14134701110448 21202051665672 42404103331344