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146273008640 = 2105112236107
BaseRepresentation
bin1000100000111010001…
…1001111110000000000
3111222120000110201212112
42020032203033300000
54344031342234030
6151110310114452
713365532026143
oct2101643176000
9458500421775
10146273008640
1157041333400
122442264ba28
1310a41398125
1471187c605a
153c117d5a95
hex220e8cfc00

146273008640 has 132 divisors (see below), whose sum is σ = 385683834648. Its totient is φ = 53189959680.

The previous prime is 146273008633. The next prime is 146273008669. The reversal of 146273008640 is 46800372641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501467 + ... + 737573.

Almost surely, 2146273008640 is an apocalyptic number.

146273008640 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 146273008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192841917324).

146273008640 is an abundant number, since it is smaller than the sum of its proper divisors (239410826008).

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

146273008640 is a wasteful number, since it uses less digits than its factorization.

146273008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236154 (or 236125 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 146273008640 in words is "one hundred forty-six billion, two hundred seventy-three million, eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1408 1760 1936 2420 2560 2816 3520 3872 4840 5120 5632 7040 7744 9680 11264 14080 15488 19360 28160 30976 38720 56320 61952 77440 123904 154880 236107 309760 472214 619520 944428 1180535 1888856 2361070 2597177 3777712 4722140 5194354 7555424 9444280 10388708 12985885 15110848 18888560 20777416 25971770 28568947 30221696 37777120 41554832 51943540 57137894 60443392 75554240 83109664 103887080 114275788 120886784 142844735 151108480 166219328 207774160 228551576 241773568 285689470 302216960 332438656 415548320 457103152 571378940 604433920 664877312 831096640 914206304 1142757880 1208867840 1329754624 1662193280 1828412608 2285515760 2659509248 3324386560 3656825216 4571031520 6648773120 7313650432 9142063040 13297546240 14627300864 18284126080 29254601728 36568252160 73136504320 146273008640