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3142232420040 = 233457138546403
BaseRepresentation
bin101101101110011011101…
…001011010111011001000
3102010101122120122211210000
4231232123221122323020
5402440242444420130
610403304401523000
7443006306610450
oct55563351327310
912111576584700
103142232420040
11100168231305a
12428b9b343460
1319a407a64bac
14ac128c00d60
1556b0b438260
hex2db9ba5aec8

3142232420040 has 160 divisors (see below), whose sum is σ = 12070162716480. Its totient is φ = 718224547968.

The previous prime is 3142232420027. The next prime is 3142232420051. The reversal of 3142232420040 is 400242322413.

3142232420040 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 232 + 420 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3142232419986 and 3142232420013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69250522 + ... + 69295881.

It is an arithmetic number, because the mean of its divisors is an integer number (75438516978).

Almost surely, 23142232420040 is an apocalyptic number.

3142232420040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142232420040 is an abundant number, since it is smaller than the sum of its proper divisors (8927930296440).

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

3142232420040 is a wasteful number, since it uses less digits than its factorization.

3142232420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138546433 (or 138546420 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3142232420040 its reverse (400242322413), we get a palindrome (3542474742453).

The spelling of 3142232420040 in words is "three trillion, one hundred forty-two billion, two hundred thirty-two million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 138546403 277092806 415639209 554185612 692732015 831278418 969824821 1108371224 1246917627 1385464030 1662556836 1939649642 2078196045 2493835254 2770928060 2909474463 3325113672 3740752881 3879299284 4156392090 4849124105 4987670508 5541856120 5818948926 6234588135 7481505762 7758598568 8312784180 8728423389 9698248210 9975341016 11222258643 11637897852 12469176270 14547372315 14963011524 16625568360 17456846778 18703764405 19396496420 22444517286 23275795704 24938352540 26185270167 29094744630 29926023048 34913693556 37407528810 38792992840 43642116945 44889034572 49876705080 52370540334 56111293215 58189489260 69827387112 74815057620 78555810501 87284233890 89778069144 104741080668 112222586430 116378978520 130926350835 149630115240 157111621002 174568467780 209482161336 224445172860 261852701670 314223242004 349136935560 392779052505 448890345720 523705403340 628446484008 785558105010 1047410806680 1571116210020 3142232420040