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146414610064140 = 2235111713049430487
BaseRepresentation
bin100001010010100111001110…
…110100101010001100001100
3201012102002200220202121201220
4201102213032310222030030
5123142324110134023030
61235221535430403340
742561051346143405
oct4122471664521414
9635362626677656
10146414610064140
114271a0a63a6470
1214508170800550
136390ab91cb0a2
14282270d79c9ac
1511dd8a780aa10
hex8529ced2a30c

146414610064140 has 96 divisors (see below), whose sum is σ = 473537733548544. Its totient is φ = 33406542044160.

The previous prime is 146414610064111. The next prime is 146414610064241. The reversal of 146414610064140 is 41460016414641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 146414610064092 and 146414610064101.

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, 6524704024 + ... + 6524726463.

It is an arithmetic number, because the mean of its divisors is an integer number (4932684724464).

Almost surely, 2146414610064140 is an apocalyptic number.

146414610064140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146414610064140 is an abundant number, since it is smaller than the sum of its proper divisors (327123123484404).

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

146414610064140 is a wasteful number, since it uses less digits than its factorization.

146414610064140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049430527 (or 13049430525 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

Adding to 146414610064140 its reverse (41460016414641), we get a palindrome (187874626478781).

The spelling of 146414610064140 in words is "one hundred forty-six trillion, four hundred fourteen billion, six hundred ten million, sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 13049430487 26098860974 39148291461 52197721948 65247152435 78296582922 130494304870 143543735357 156593165844 195741457305 221840318279 260988609740 287087470714 391482914610 430631206071 443680636558 574174941428 665520954837 717718676785 782965829220 861262412142 887361273116 1109201591395 1331041909674 1435437353570 1722524824284 2153156030355 2218403182790 2440243501069 2662083819348 2870874707140 3327604774185 4306312060710 4436806365580 4880487002138 6655209548370 7320730503207 8612624121420 9760974004276 12201217505345 13310419096740 14641461006414 24402435010690 29282922012828 36603652516035 48804870021380 73207305032070 146414610064140