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152151444551040 = 2735117204140367
BaseRepresentation
bin100010100110000110000100…
…110011011111010110000000
3201221201112110202221221202120
4202212012010303133112000
5124420322124301113130
61255333224135244240
744022402430536654
oct4246060463372600
9657645422857676
10152151444551040
1144531079961830
1215093b76b19680
1366b8a86a2935c
142980252448a64
15128cc1cc31910
hex8a6184cdf580

152151444551040 has 128 divisors (see below), whose sum is σ = 529072068625920. Its totient is φ = 36885198673920.

The previous prime is 152151444551039. The next prime is 152151444551089. The reversal of 152151444551040 is 40155444151251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 152151444550983 and 152151444551001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3602049064 + ... + 3602091303.

It is an arithmetic number, because the mean of its divisors is an integer number (4133375536140).

Almost surely, 2152151444551040 is an apocalyptic number.

152151444551040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152151444551040 is an abundant number, since it is smaller than the sum of its proper divisors (376920624074880).

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

152151444551040 is a wasteful number, since it uses less digits than its factorization.

152151444551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204140400 (or 7204140388 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 42.

The spelling of 152151444551040 in words is "one hundred fifty-two trillion, one hundred fifty-one billion, four hundred forty-four million, five hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 7204140367 14408280734 21612421101 28816561468 36020701835 43224842202 57633122936 72041403670 79245544037 86449684404 108062105505 115266245872 144082807340 158491088074 172899368808 216124211010 230532491744 237736632111 288165614680 316982176148 345798737616 396227720185 432248422020 461064983488 475473264222 576331229360 633964352296 691597475232 792455440370 864496844040 922129966976 950946528444 1152662458720 1188683160555 1267928704592 1383194950464 1584910880740 1728993688080 1901893056888 2305324917440 2377366321110 2535857409184 2766389900928 3169821761480 3457987376160 3803786113776 4610649834880 4754732642220 5071714818368 6339643522960 6915974752320 7607572227552 9509465284440 10143429636736 12679287045920 13831949504640 15215144455104 19018930568880 25358574091840 30430288910208 38037861137760 50717148183680 76075722275520 152151444551040