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125450021430 = 2335978815437
BaseRepresentation
bin111010011010101100…
…1110110101000110110
3102222210211100101102000
41310311121312220312
54023410201141210
6133344141200130
712030524405466
oct1646531665066
9388724311360
10125450021430
11492262a2968
1220390b60046
13baa334c616
1461010adba6
1533e36a1ac0
hex1d35676a36

125450021430 has 128 divisors (see below), whose sum is σ = 338428056960. Its totient is φ = 33064796160.

The previous prime is 125450021413. The next prime is 125450021443. The reversal of 125450021430 is 34120054521.

125450021430 is a `hidden beast` number, since 12 + 5 + 4 + 500 + 2 + 143 + 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 = 125450021394 and 125450021403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23070672 + ... + 23076108.

It is an arithmetic number, because the mean of its divisors is an integer number (2643969195).

Almost surely, 2125450021430 is an apocalyptic number.

125450021430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125450021430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169214028480).

125450021430 is an abundant number, since it is smaller than the sum of its proper divisors (212978035530).

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

125450021430 is a wasteful number, since it uses less digits than its factorization.

125450021430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125450021430 its reverse (34120054521), we get a palindrome (159570075951).

The spelling of 125450021430 in words is "one hundred twenty-five billion, four hundred fifty million, twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 881 970 1455 1746 1762 2619 2643 2910 4365 4405 5238 5286 5437 7929 8730 8810 10874 13095 13215 15858 16311 23787 26190 26430 27185 32622 39645 47574 48933 54370 79290 81555 85457 97866 118935 146799 163110 170914 237870 244665 256371 293598 427285 489330 512742 527389 733995 769113 854570 1054778 1281855 1467990 1538226 1582167 2307339 2563710 2636945 3164334 3845565 4614678 4746501 4789997 5273890 7691130 7910835 9493002 9579994 11536695 14239503 14369991 15821670 23073390 23732505 23949985 28479006 28739982 43109973 47465010 47899970 71197515 71849955 86219946 129329919 142395030 143699910 215549865 258659838 431099730 464629709 646649595 929259418 1293299190 1393889127 2323148545 2787778254 4181667381 4646297090 6969445635 8363334762 12545002143 13938891270 20908336905 25090004286 41816673810 62725010715 125450021430