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16254230451144 = 23371187685711887
BaseRepresentation
bin1110110010000111101110…
…1000011101001111001000
32010112220000021012211211120
43230201323220131033020
54112302130443414034
654323031304555240
73265220661134160
oct354417350351710
963486007184746
1016254230451144
1151a7420385234
1219a6218a82b20
1390b9c8b5531a
144029cd5115a0
151d2c232dbc49
hexec87ba1d3c8

16254230451144 has 128 divisors (see below), whose sum is σ = 46490471976960. Its totient is φ = 4639086402048.

The previous prime is 16254230451139. The next prime is 16254230451163. The reversal of 16254230451144 is 44115403245261.

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

It is a junction number, because it is equal to n+sod(n) for n = 16254230451096 and 16254230451105.

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 31 ways as a sum of consecutive naturals, for example, 1367389569 + ... + 1367401455.

It is an arithmetic number, because the mean of its divisors is an integer number (363206812320).

Almost surely, 216254230451144 is an apocalyptic number.

16254230451144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16254230451144 is an abundant number, since it is smaller than the sum of its proper divisors (30236241525816).

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

16254230451144 is a wasteful number, since it uses less digits than its factorization.

16254230451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19947 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 16254230451144 in words is "sixteen trillion, two hundred fifty-four billion, two hundred thirty million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1187 2374 3561 4748 6857 7122 8309 9496 11887 13714 14244 16618 20571 23774 24927 27428 28488 33236 35661 41142 47548 47999 49854 54856 66472 71322 82284 83209 95096 95998 99708 142644 143997 164568 166418 191996 199416 249627 285288 287994 332836 383992 499254 575988 665672 998508 1151976 1997016 8139259 14109869 16278518 24417777 28219738 32557036 42329607 48835554 56439476 56974813 65114072 81509159 84659214 97671108 98769083 112878952 113949626 163018318 169318428 170924439 195342216 197538166 227899252 244527477 296307249 326036636 338636856 341848878 395076332 455798504 489054954 570564113 592614498 652073272 683697756 790152664 978109908 1141128226 1185228996 1367395512 1711692339 1956219816 2282256452 2370457992 3423384678 4564512904 6846769356 13693538712 96751371733 193502743466 290254115199 387005486932 580508230398 677259602131 774010973864 1161016460796 1354519204262 2031778806393 2322032921592 2709038408524 4063557612786 5418076817048 8127115225572 16254230451144