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146504325420 = 2232510915794729
BaseRepresentation
bin1000100001110001010…
…1101001100100101100
3112000011010201211211200
42020130111221210230
54400020101403140
6151145252045500
713404341135115
oct2103425514454
9460133654750
10146504325420
115714a9660a2
1224488003890
1310a7a29886b
14713b3db20c
153c26c79030
hex221c56992c

146504325420 has 144 divisors (see below), whose sum is σ = 448852404000. Its totient is φ = 38676704256.

The previous prime is 146504325397. The next prime is 146504325547. The reversal of 146504325420 is 24523405641.

146504325420 is a `hidden beast` number, since 14 + 65 + 0 + 43 + 2 + 542 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 30977616 + ... + 30982344.

Almost surely, 2146504325420 is an apocalyptic number.

146504325420 is a gapful number since it is divisible by the number (10) 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 146504325420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224426202000).

146504325420 is an abundant number, since it is smaller than the sum of its proper divisors (302348078580).

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

146504325420 is a wasteful number, since it uses less digits than its factorization.

146504325420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6432 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 146504325420 in words is "one hundred forty-six billion, five hundred four million, three hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1579 1635 1962 2180 3158 3270 3924 4729 4737 4905 6316 6540 7895 9458 9474 9810 14187 14211 15790 18916 18948 19620 23645 23685 28374 28422 31580 42561 47290 47370 56748 56844 70935 71055 85122 94580 94740 141870 142110 170244 172111 212805 283740 284220 344222 425610 515461 516333 688444 851220 860555 1030922 1032666 1546383 1548999 1721110 2061844 2065332 2577305 2581665 3092766 3097998 3442220 4639149 5154610 5163330 6185532 6195996 7467091 7731915 7744995 9278298 10309220 10326660 14934182 15463830 15489990 18556596 22401273 23195745 29868364 30927660 30979980 37335455 44802546 46391490 67203819 74670910 89605092 92782980 112006365 134407638 149341820 224012730 268815276 336019095 448025460 672038190 813912919 1344076380 1627825838 2441738757 3255651676 4069564595 4883477514 7325216271 8139129190 9766955028 12208693785 14650432542 16278258380 24417387570 29300865084 36626081355 48834775140 73252162710 146504325420