Search a number
-
+
153106134615324 = 22321137101103460437
BaseRepresentation
bin100010110011111111001100…
…110001000100010100011100
3202002002210200202202011022100
4202303333030301010110130
5130031442330430142244
61301343553124445100
744151360513310032
oct4263771461042434
9662083622664270
10153106134615324
1144869a46581360
1215208bb2849790
136757b00b17737
1429b453adc4552
1512a7996736b69
hex8b3fccc4451c

153106134615324 has 144 divisors (see below), whose sum is σ = 437905822195296. Its totient is φ = 44694908352000.

The previous prime is 153106134615299. The next prime is 153106134615391. The reversal of 153106134615324 is 423516431601351.

153106134615324 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 0 + 6 + 1 + 3 + 4 + 615 + 3 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153106134615324.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50250367 + ... + 53210070.

It is an arithmetic number, because the mean of its divisors is an integer number (3041012654134).

Almost surely, 2153106134615324 is an apocalyptic number.

It is an amenable number.

153106134615324 is an abundant number, since it is smaller than the sum of its proper divisors (284799687579972).

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

153106134615324 is a wasteful number, since it uses less digits than its factorization.

153106134615324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103460596 (or 103460591 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 153106134615324 in words is "one hundred fifty-three trillion, one hundred six billion, one hundred thirty-four million, six hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 101 111 132 148 198 202 222 303 333 396 404 407 444 606 666 814 909 1111 1212 1221 1332 1628 1818 2222 2442 3333 3636 3663 3737 4444 4884 6666 7326 7474 9999 11211 13332 14652 14948 19998 22422 33633 39996 41107 44844 67266 82214 123321 134532 164428 246642 369963 493284 739926 1479852 103460437 206920874 310381311 413841748 620762622 931143933 1138064807 1241525244 1862287866 2276129614 3414194421 3724575732 3828036169 4552259228 6828388842 7656072338 10242583263 10449504137 11484108507 13656777684 15312144676 20485166526 20899008274 22968217014 31348512411 34452325521 40970333052 41798016548 42108397859 45936434028 62697024822 68904651042 84216795718 94045537233 114944545507 125394049644 126325193577 137809302084 168433591436 188091074466 229889091014 252650387154 344833636521 376182148932 378975580731 386631653069 459778182028 505300774308 689667273042 757951161462 773263306138 1034500909563 1159894959207 1379334546084 1515902322924 1546526612276 2069001819126 2319789918414 3479684877621 4138003638252 4252948183759 4639579836828 6959369755242 8505896367518 12758844551277 13918739510484 17011792735036 25517689102554 38276533653831 51035378205108 76553067307662 153106134615324