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13142330250372 = 22331031654771399
BaseRepresentation
bin1011111100111110111111…
…1011010001010010000100
31201112101122120222101121000
42333033233323101102010
53210310443021002442
643541300403453300
72524334123642511
oct277175773212204
951471576871530
1013142330250372
1142076a3896494
1215830a3987230
1374441625448b
14336140d18308
1517bcdec52d4c
hexbf3efed1484

13142330250372 has 96 divisors (see below), whose sum is σ = 34406072064000. Its totient is φ = 4337922002976.

The previous prime is 13142330250353. The next prime is 13142330250409. The reversal of 13142330250372 is 27305203324131.

13142330250372 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 3 + 30 + 250 + 372 = 666.

It is a super-2 number, since 2×131423302503722 (a number of 27 digits) contains 22 as substring.

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

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, 184033129 + ... + 184104527.

It is an arithmetic number, because the mean of its divisors is an integer number (358396584000).

Almost surely, 213142330250372 is an apocalyptic number.

13142330250372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142330250372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203036032000).

13142330250372 is an abundant number, since it is smaller than the sum of its proper divisors (21263741813628).

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

13142330250372 is a wasteful number, since it uses less digits than its factorization.

13142330250372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88062 (or 88054 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13142330250372 in words is "thirteen trillion, one hundred forty-two billion, three hundred thirty million, two hundred fifty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 16547 33094 49641 66188 71399 99282 142798 148923 198564 214197 285596 297846 428394 446769 595692 642591 856788 893538 1285182 1704341 1787076 1927773 2570364 3408682 3855546 5113023 6817364 7354097 7711092 10226046 14708194 15339069 20452092 22062291 29416388 30678138 44124582 46017207 61356276 66186873 88249164 92034414 132373746 184068828 198560619 264747492 397121238 794242476 1181439253 2362878506 3544317759 4725757012 7088635518 10632953277 14177271036 21265906554 31898859831 42531813108 63797719662 121688243059 127595439324 243376486118 365064729177 486752972236 730129458354 1095194187531 1460258916708 2190388375062 3285582562593 4380776750124 6571165125186 13142330250372