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4312094148 = 22324147611019
BaseRepresentation
bin1000000010000010…
…10101010111000100
3102010111222002010200
410001001111113010
532312344003043
61551515050500
7211600124025
oct40101252704
912114862120
104312094148
11191307917a
12a04140a30
135394952cb
142cc994c4c
151a38727d3
hex1010555c4

4312094148 has 144 divisors (see below), whose sum is σ = 11601757440. Its totient is φ = 1348646400.

The previous prime is 4312094147. The next prime is 4312094153. The reversal of 4312094148 is 8414902134.

It is a happy number.

4312094148 is a `hidden beast` number, since 4 + 31 + 209 + 414 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4312094147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4231183 + ... + 4232201.

It is an arithmetic number, because the mean of its divisors is an integer number (80567760).

Almost surely, 24312094148 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 4312094148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800878720).

4312094148 is an abundant number, since it is smaller than the sum of its proper divisors (7289663292).

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

4312094148 is a wasteful number, since it uses less digits than its factorization.

4312094148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4312094148 is about 65666.5375057951. The cubic root of 4312094148 is about 1627.6564547646.

The spelling of 4312094148 in words is "four billion, three hundred twelve million, ninety-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 61 82 94 122 123 141 164 183 188 244 246 282 366 369 423 492 549 564 732 738 846 1019 1098 1476 1692 1927 2038 2196 2501 2867 3057 3854 4076 5002 5734 5781 6114 7503 7708 8601 9171 10004 11468 11562 12228 15006 17202 17343 18342 22509 23124 25803 30012 34404 34686 36684 41779 45018 47893 51606 62159 69372 83558 90036 95786 103212 117547 124318 125337 143679 167116 186477 191572 235094 248636 250674 287358 352641 372954 376011 431037 470188 501348 559431 574716 705282 745908 752022 862074 1057923 1118862 1410564 1504044 1724148 1963613 2115846 2237724 2548519 2921473 3927226 4231692 5097038 5842946 5890839 7645557 7854452 8764419 10194076 11685892 11781678 15291114 17528838 17672517 22936671 23563356 26293257 30582228 35057676 35345034 45873342 52586514 70690068 91746684 105173028 119780393 239560786 359341179 479121572 718682358 1078023537 1437364716 2156047074 4312094148