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132144402021240 = 23357413836945471
BaseRepresentation
bin11110000010111101000100…
…001001000011101101111000
3122022212212210120201212101210
4132002331010021003231320
5114310023213404134430
61145014144503243120
736556055320143150
oct3602750411035570
9568785716655353
10132144402021240
1139118142a41934
12129a2578a494a0
13589721869b52b
14248bb74b5d760
1510425a49802b0
hex782f44243b78

132144402021240 has 128 divisors (see below), whose sum is σ = 464116924293120. Its totient is φ = 29467741209600.

The previous prime is 132144402021239. The next prime is 132144402021241. The reversal of 132144402021240 is 42120204441231.

It is an interprime number because it is at equal distance from previous prime (132144402021239) and next prime (132144402021241).

It is a super-2 number, since 2×1321444020212402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132144402021198 and 132144402021207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144402021241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918438296 + ... + 1918507175.

It is an arithmetic number, because the mean of its divisors is an integer number (3625913471040).

Almost surely, 2132144402021240 is an apocalyptic number.

132144402021240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144402021240 is an abundant number, since it is smaller than the sum of its proper divisors (331972522271880).

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

132144402021240 is a wasteful number, since it uses less digits than its factorization.

132144402021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836945533 (or 3836945529 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 132144402021240 its reverse (42120204441231), we get a palindrome (174264606462471).

The spelling of 132144402021240 in words is "one hundred thirty-two trillion, one hundred forty-four billion, four hundred two million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 3836945471 7673890942 11510836413 15347781884 19184727355 23021672826 26858618297 30695563768 38369454710 46043345652 53717236594 57554182065 76738909420 80575854891 92086691304 107434473188 115108364130 134293091485 153477818840 157314764311 161151709782 214868946376 230216728260 268586182970 314629528622 322303419564 402879274455 460433456520 471944292933 537172365940 629259057244 644606839128 786573821555 805758548910 943888585866 1074344731880 1101203350177 1258518114488 1573147643110 1611517097820 1887777171732 2202406700354 2359721464665 3146295286220 3223034195640 3303610050531 3775554343464 4404813400708 4719442929330 5506016750885 6292590572440 6607220101062 8809626801416 9438885858660 11012033501770 13214440202124 16518050252655 18877771717320 22024067003540 26428880404248 33036100505310 44048134007080 66072201010620 132144402021240