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231553533142332 = 2232171013937139857
BaseRepresentation
bin110100101001100011000010…
…000101101110010100111100
31010100212022010212000100112100
4310221203002011232110330
5220322233113441023312
62140250120303305100
766526122260601612
oct6451430205562474
91110768125010470
10231553533142332
1167864335963985
1221b787618ab190
139c285348560bb
1441273722b56b2
151bb838ad5e5dc
hexd298c216e53c

231553533142332 has 144 divisors (see below), whose sum is σ = 620439779992032. Its totient is φ = 72562968698880.

The previous prime is 231553533142319. The next prime is 231553533142339. The reversal of 231553533142332 is 233241335355132.

231553533142332 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 53 + 53 + 314 + 233 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231553533142339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5809587748 + ... + 5809627604.

It is an arithmetic number, because the mean of its divisors is an integer number (4308609583278).

Almost surely, 2231553533142332 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 231553533142332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310219889996016).

231553533142332 is an abundant number, since it is smaller than the sum of its proper divisors (388886246849700).

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

231553533142332 is a wasteful number, since it uses less digits than its factorization.

231553533142332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50268 (or 50263 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 45.

Adding to 231553533142332 its reverse (233241335355132), we get a palindrome (464794868497464).

The spelling of 231553533142332 in words is "two hundred thirty-one trillion, five hundred fifty-three billion, five hundred thirty-three million, one hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1013 2026 3039 4052 6078 9117 9371 12156 17221 18234 18742 28113 34442 36468 37484 39857 51663 56226 68884 79714 84339 103326 112452 119571 154989 159307 159428 168678 206652 239142 309978 318614 337356 358713 477921 478284 619956 637228 677569 717426 955842 1355138 1433763 1434852 1911684 2032707 2710276 2867526 4065414 5735052 6098121 8130828 9492823 12196242 18985646 24392484 28478469 37971292 40375141 56956938 80750282 85435407 113913876 121125423 161377991 161500564 170870814 242250846 322755982 341741628 363376269 373499947 484133973 484501692 645511964 686377397 726752538 746999894 968267946 1120499841 1372754794 1452401919 1453505076 1493999788 1936535892 2059132191 2240999682 2745509588 2904803838 3361499523 4118264382 4481999364 5809607676 6177396573 6349499099 6722999046 8236528764 12354793146 12698998198 13445998092 19048497297 24709586292 25397996396 38096994594 57145491891 76193989188 114290983782 228581967564 378355446311 756710892622 1135066338933 1513421785244 2270132677866 3405199016799 4540265355732 6432042587287 6810398033598 12864085174574 13620796067196 19296127761861 25728170349148 38592255523722 57888383285583 77184511047444 115776766571166 231553533142332