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13840664284464 = 2432371193914897
BaseRepresentation
bin1100100101101000011111…
…1000001100110100110000
31211000011011200122221201220
43021122013320030310300
53303231140024100324
645234151405425040
72625645364203543
oct311320770146460
954004150587656
1013840664284464
11445687a188256
1216764b656b180
13795227500074
1435bc6ac7685a
1519006292ab79
hexc9687e0cd30

13840664284464 has 160 divisors (see below), whose sum is σ = 38031182705664. Its totient is φ = 4328263188480.

The previous prime is 13840664284451. The next prime is 13840664284481. The reversal of 13840664284464 is 46448246604831.

It is a super-2 number, since 2×138406642844642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13840664284398 and 13840664284407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14670664 + ... + 15585560.

Almost surely, 213840664284464 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 13840664284464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015591352832).

13840664284464 is an abundant number, since it is smaller than the sum of its proper divisors (24190518421200).

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

13840664284464 is a wasteful number, since it uses less digits than its factorization.

13840664284464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915195 (or 915189 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 13840664284464 in words is "thirteen trillion, eight hundred forty billion, six hundred sixty-four million, two hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 193 213 276 284 368 386 426 552 568 579 772 852 1104 1136 1158 1544 1633 1704 2316 3088 3266 3408 4439 4632 4899 6532 8878 9264 9798 13064 13317 13703 17756 19596 26128 26634 27406 35512 39192 41109 53268 54812 71024 78384 82218 106536 109624 164436 213072 219248 315169 328872 630338 657744 914897 945507 1260676 1829794 1891014 2521352 2744691 3659588 3782028 5042704 5489382 7319176 7564056 10978764 14638352 15128112 21042631 21957528 42085262 43915056 63127893 64957687 84170524 126255786 129915374 168341048 176575121 194873061 252511572 259830748 336682096 353150242 389746122 505023144 519661496 529725363 706300484 779492244 1010046288 1039322992 1059450726 1412600968 1494026801 1558984488 2118901452 2825201936 2988053602 3117968976 4061227783 4237802904 4482080403 5976107204 8122455566 8475605808 8964160806 11952214408 12183683349 12536833591 16244911132 17928321612 23904428816 24367366698 25073667182 32489822264 35856643224 37610500773 48734733396 50147334364 64979644528 71713286448 75221001546 97469466792 100294668728 150442003092 194938933584 200589337456 288347172593 300884006184 576694345186 601768012368 865041517779 1153388690372 1730083035558 2306777380744 3460166071116 4613554761488 6920332142232 13840664284464