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16340340254004 = 223213412633237991
BaseRepresentation
bin1110110111001000100000…
…1011010010010100110100
32010212010021102000001201100
43231302020023102110310
54120210004101112004
654430352040530100
73304356602315124
oct355621013222464
963763242001640
1016340340254004
11522a999099668
1219baa4aa80930
13916b6ca1c5b0
14406c3b8bcc84
151d50b2d82739
hexedc882d2534

16340340254004 has 144 divisors (see below), whose sum is σ = 45740237647104. Its totient is φ = 4886515468800.

The previous prime is 16340340253961. The next prime is 16340340254081. The reversal of 16340340254004 is 40045204304361.

16340340254004 is a `hidden beast` number, since 1 + 63 + 4 + 0 + 340 + 254 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16340340254004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427449 + ... + 6665439.

It is an arithmetic number, because the mean of its divisors is an integer number (317640539216).

Almost surely, 216340340254004 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 16340340254004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870118823552).

16340340254004 is an abundant number, since it is smaller than the sum of its proper divisors (29399897393100).

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

16340340254004 is a wasteful number, since it uses less digits than its factorization.

16340340254004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238318 (or 3238313 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 16340340254004 its reverse (40045204304361), we get a palindrome (56385544558365).

The spelling of 16340340254004 in words is "sixteen trillion, three hundred forty billion, three hundred forty million, two hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 263 369 468 492 526 533 738 789 1052 1066 1476 1578 1599 2132 2367 3156 3198 3419 4734 4797 6396 6838 9468 9594 10257 10783 13676 19188 20514 21566 30771 32349 41028 43132 61542 64698 97047 123084 129396 140179 194094 280358 388188 420537 560716 841074 1261611 1682148 2523222 3237991 5046444 6475982 9713973 12951964 19427946 29141919 38855892 42093883 58283838 84187766 116567676 126281649 132757631 168375532 252563298 265515262 378844947 398272893 505126596 531030524 757689894 796545786 851591633 1194818679 1515379788 1593091572 1703183266 1725849203 2389637358 2554774899 3406366532 3451698406 4779274716 5109549798 5177547609 6903396812 7664324697 10219099596 10355095218 11070691229 15328649394 15532642827 20710190436 22141382458 30657298788 31065285654 33212073687 34915256953 44282764916 62130571308 66424147374 69830513906 99636221061 104745770859 132848294748 139661027812 199272442122 209491541718 314237312577 398544884244 418983083436 453898340389 628474625154 907796680778 1256949250308 1361695021167 1815593361556 2723390042334 4085085063501 5446780084668 8170170127002 16340340254004