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54031123115120 = 2456773791747951
BaseRepresentation
bin11000100100100000110011…
…11001100110110001110000
321002022022202212111000202102
430102100121321212301300
524040221220004140440
6310525315535435532
714244422412511214
oct1422203171466160
9232268685430672
1054031123115120
111624151a4567a8
126087715985ba8
13241c161498758
14d4b1981ca944
1563a718143b15
hex312419e66c70

54031123115120 has 160 divisors (see below), whose sum is σ = 130879933624320. Its totient is φ = 20732420966400.

The previous prime is 54031123115119. The next prime is 54031123115161. The reversal of 54031123115120 is 2151132113045.

It is a happy number.

It is a super-2 number, since 2×540311231151202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30037145 + ... + 31785095.

It is an arithmetic number, because the mean of its divisors is an integer number (817999585152).

Almost surely, 254031123115120 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 54031123115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65439966812160).

54031123115120 is an abundant number, since it is smaller than the sum of its proper divisors (76848810509200).

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

54031123115120 is a wasteful number, since it uses less digits than its factorization.

54031123115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748183 (or 1748177 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 54031123115120 its reverse (2151132113045), we get a palindrome (56182255228165).

The spelling of 54031123115120 in words is "fifty-four trillion, thirty-one billion, one hundred twenty-three million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 73 79 80 134 146 158 268 292 316 335 365 395 536 584 632 670 730 790 1072 1168 1264 1340 1460 1580 2680 2920 3160 4891 5293 5360 5767 5840 6320 9782 10586 11534 19564 21172 23068 24455 26465 28835 39128 42344 46136 48910 52930 57670 78256 84688 92272 97820 105860 115340 195640 211720 230680 386389 391280 423440 461360 772778 1545556 1747951 1931945 3091112 3495902 3863890 6182224 6991804 7727780 8739755 13983608 15455560 17479510 27967216 30911120 34959020 69918040 117112717 127600423 138088129 139836080 234225434 255200846 276176258 468450868 510401692 552352516 585563585 638002115 690440645 936901736 1020803384 1104705032 1171127170 1276004230 1380881290 1873803472 2041606768 2209410064 2342254340 2552008460 2761762580 4684508680 5104016920 5523525160 8549228341 9251904643 9369017360 10080433417 10208033840 11047050320 17098456682 18503809286 20160866834 34196913364 37007618572 40321733668 42746141705 46259523215 50402167085 68393826728 74015237144 80643467336 85492283410 92519046430 100804334170 136787653456 148030474288 161286934672 170984566820 185038092860 201608668340 341969133640 370076185720 403217336680 675389038939 683938267280 740152371440 806434673360 1350778077878 2701556155756 3376945194695 5403112311512 6753890389390 10806224623024 13507780778780 27015561557560 54031123115120