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305109034272 = 25327314882057
BaseRepresentation
bin1000111000010011110…
…10100110010100100000
31002011112120110212012200
410130021322212110200
514444330403044042
6352055401253200
731020613000110
oct4341172462440
91064476425180
10305109034272
1110843a106379
124b170494200
1322a05445103
1410aa58a7040
157e0aea1c4c
hex4709ea6520

305109034272 has 144 divisors (see below), whose sum is σ = 1023591808512. Its totient is φ = 84361927680.

The previous prime is 305109034247. The next prime is 305109034289. The reversal of 305109034272 is 272430901503.

305109034272 is a `hidden beast` number, since 3 + 0 + 510 + 90 + 34 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 2378533 + ... + 2503524.

It is an arithmetic number, because the mean of its divisors is an integer number (7108276448).

Almost surely, 2305109034272 is an apocalyptic number.

305109034272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

305109034272 is an abundant number, since it is smaller than the sum of its proper divisors (718482774240).

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

305109034272 is a wasteful number, since it uses less digits than its factorization.

305109034272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882111 (or 4882100 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 305109034272 its reverse (272430901503), we get a palindrome (577539935775).

The spelling of 305109034272 in words is "three hundred five billion, one hundred nine million, thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 4882057 9764114 14646171 19528228 29292342 34174399 39056456 43938513 58584684 68348798 78112912 87877026 102523197 117169368 136697596 151343767 156225824 175754052 205046394 234338736 273395192 302687534 307569591 351508104 410092788 454031301 468677472 546790384 605375068 615139182 703016208 820185576 908062602 1059406369 1093580768 1210750136 1230278364 1362093903 1406032416 1640371152 1816125204 2118812738 2421500272 2460556728 2724187806 3178219107 3280742304 3632250408 4237625476 4843000544 4921113456 5448375612 6356438214 7264500816 8475250952 9534657321 9842226912 10896751224 12712876428 14529001632 16950501904 19069314642 21793502448 25425752856 33901003808 38138629284 43587004896 50851505712 76277258568 101703011424 152554517136 305109034272