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2314530354132 = 2232372237879901
BaseRepresentation
bin100001101011100100110…
…000100111001111010100
322012021012121012100101100
4201223210300213033110
5300410124232313012
64531140334030100
7326135135255043
oct41534460471724
98167177170340
102314530354132
11812650055217
123146a3648330
1313a34a824159
14800496c255a
15403161318dc
hex21ae4c273d4

2314530354132 has 144 divisors (see below), whose sum is σ = 6043967867392. Its totient is φ = 746267385600.

The previous prime is 2314530354127. The next prime is 2314530354179.

2314530354132 is a `hidden beast` number, since 2 + 3 + 145 + 30 + 354 + 132 = 666.

2314530354132 is nontrivially palindromic in base 10.

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

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, 233762382 + ... + 233772282.

Almost surely, 22314530354132 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 2314530354132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021983933696).

2314530354132 is an abundant number, since it is smaller than the sum of its proper divisors (3729437513260).

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

2314530354132 is a wasteful number, since it uses less digits than its factorization.

2314530354132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10958 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 2314530 and 354132, that added together give a palindrome (2668662).

The spelling of 2314530354132 in words is "two trillion, three hundred fourteen billion, five hundred thirty million, three hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 223 333 444 446 666 669 787 892 1332 1338 1574 2007 2361 2676 3148 4014 4722 7083 8028 8251 9444 9901 14166 16502 19802 24753 28332 29119 29703 33004 39604 49506 58238 59406 74259 87357 89109 99012 116476 118812 148518 174714 175501 178218 262071 297036 349428 351002 356436 366337 524142 526503 702004 732674 1048284 1053006 1099011 1465348 1579509 2106012 2198022 2207923 3159018 3297033 4396044 4415846 6318036 6493537 6594066 6623769 7792087 8831692 12987074 13188132 13247538 15584174 19480611 19871307 23376261 25974148 26495076 31168348 38961222 39742614 46752522 58441833 70128783 77922444 79485228 81693151 93505044 116883666 140257566 163386302 233767332 245079453 280515132 288307219 326772604 490158906 576614438 735238359 864921657 980317812 1153228876 1470476718 1729843314 1737635401 2594764971 2940953436 3459686628 3475270802 5189529942 5212906203 6950541604 10379059884 10425812406 15638718609 20851624812 31277437218 62554874436 64292509837 128585019674 192877529511 257170039348 385755059022 578632588533 771510118044 1157265177066 2314530354132