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125221424040 = 23335176820339
BaseRepresentation
bin111010010011111000…
…1110100101110101000
3102222012220012102202000
41310213301310232220
54022423141032130
6133305333411000
712022050354006
oct1644761645650
9388186172660
10125221424040
11491192582a9
1220328499a60
13ba67b918ab
1460bc9a5a76
1533cd599260
hex1d27c74ba8

125221424040 has 128 divisors (see below), whose sum is σ = 441958032000. Its totient is φ = 31428117504.

The previous prime is 125221424033. The next prime is 125221424051. The reversal of 125221424040 is 40424122521.

It is a happy number.

125221424040 is a `hidden beast` number, since 1 + 252 + 2 + 1 + 4 + 2 + 404 + 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 = 125221423995 and 125221424013.

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, 3391810 + ... + 3428529.

It is an arithmetic number, because the mean of its divisors is an integer number (3452797125).

Almost surely, 2125221424040 is an apocalyptic number.

125221424040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125221424040 is an abundant number, since it is smaller than the sum of its proper divisors (316736607960).

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

125221424040 is a wasteful number, since it uses less digits than its factorization.

125221424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820376 (or 6820366 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 125221424040 its reverse (40424122521), we get a palindrome (165645546561).

The spelling of 125221424040 in words is "one hundred twenty-five billion, two hundred twenty-one million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 6820339 13640678 20461017 27281356 34101695 40922034 54562712 61383051 68203390 81844068 102305085 115945763 122766102 136406780 163688136 184149153 204610170 231891526 245532204 272813560 306915255 347837289 368298306 409220340 463783052 491064408 579728815 613830510 695674578 736596612 818440680 920745765 927566104 1043511867 1159457630 1227661020 1391349156 1473193224 1739186445 1841491530 2087023734 2318915260 2455322040 2782698312 3130535601 3478372890 3682983060 4174047468 4637830520 5217559335 6261071202 6956745780 7365966120 8348094936 10435118670 12522142404 13913491560 15652678005 20870237340 25044284808 31305356010 41740474680 62610712020 125221424040