Search a number
-
+
32133142142244 = 2232111361102325723
BaseRepresentation
bin1110100111001100101001…
…00001011101110100100100
311012202220020220222012220200
413103212110201131310210
513202432133342022434
6152201432310230500
76524354134416213
oct723462441356444
9135686226865820
1032133142142244
11a269653036a40
12372b750355430
1314c11b0839ac0
147d137674d07a
153aaccb8da199
hex1d399485dd24

32133142142244 has 144 divisors (see below), whose sum is σ = 96990051447744. Its totient is φ = 8840942380800.

The previous prime is 32133142142141. The next prime is 32133142142263. The reversal of 32133142142244 is 44224124133123.

32133142142244 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 3 + 1 + 421 + 4 + 224 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32133142142199 and 32133142142208.

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, 50848834 + ... + 51476889.

Almost surely, 232133142142244 is an apocalyptic number.

It is an amenable number.

32133142142244 is an abundant number, since it is smaller than the sum of its proper divisors (64856909305500).

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

32133142142244 is a wasteful number, since it uses less digits than its factorization.

32133142142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102325818 (or 102325813 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 32133142142244 its reverse (44224124133123), we get a palindrome (76357266275367).

The spelling of 32133142142244 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred forty-two million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 61 66 78 99 117 122 132 143 156 183 198 234 244 286 366 396 429 468 549 572 671 732 793 858 1098 1287 1342 1586 1716 2013 2196 2379 2574 2684 3172 4026 4758 5148 6039 7137 8052 8723 9516 12078 14274 17446 24156 26169 28548 34892 52338 78507 104676 157014 314028 102325723 204651446 306977169 409302892 613954338 920931507 1125582953 1227908676 1330234399 1841863014 2251165906 2660468798 3376748859 3683726028 3990703197 4502331812 5320937596 6241869103 6753497718 7981406394 10130246577 11972109591 12483738206 13506995436 14632578389 15962812788 18725607309 20260493154 23944219182 24967476412 29265156778 37451214618 40520986308 43897735167 47888438364 56176821927 58530313556 68660560133 74902429236 81144298339 87795470334 112353643854 131693205501 137321120266 162288596678 175590940668 205981680399 224707287708 243432895017 263386411002 274642240532 324577193356 411963360798 486865790034 526772822004 617945041197 730298685051 823926721596 892587281729 973731580068 1235890082394 1460597370102 1785174563458 2471780164788 2677761845187 2921194740204 3570349126916 5355523690374 8033285535561 10711047380748 16066571071122 32133142142244