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146121266460 = 223513595331469
BaseRepresentation
bin1000100000010110000…
…0011001010100011100
3111222011102221102201210
42020011200121110130
54343224021011320
6151043245504420
713362010162131
oct2100540312434
9458142842653
10146121266460
1156a73711244
122439b872110
1310a18b09260
1471025a6588
153c033100e0
hex220581951c

146121266460 has 96 divisors (see below), whose sum is σ = 440699837760. Its totient is φ = 35961126912.

The previous prime is 146121266383. The next prime is 146121266507. The reversal of 146121266460 is 64662121641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4627606 + ... + 4659074.

It is an arithmetic number, because the mean of its divisors is an integer number (4590623310).

Almost surely, 2146121266460 is an apocalyptic number.

146121266460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146121266460 is an abundant number, since it is smaller than the sum of its proper divisors (294578571300).

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

146121266460 is a wasteful number, since it uses less digits than its factorization.

146121266460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37447 (or 37445 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 146121266460 in words is "one hundred forty-six billion, one hundred twenty-one million, two hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 5953 11906 17859 23812 29765 31469 35718 59530 62938 71436 77389 89295 94407 119060 125876 154778 157345 178590 188814 232167 309556 314690 357180 377628 386945 409097 464334 472035 629380 773890 818194 928668 944070 1160835 1227291 1547780 1636388 1888140 2045485 2321670 2454582 4090970 4643340 4909164 6136455 8181940 12272910 24545820 187334957 374669914 562004871 749339828 936674785 1124009742 1873349570 2248019484 2435354441 2810024355 3746699140 4870708882 5620048710 7306063323 9741417764 11240097420 12176772205 14612126646 24353544410 29224253292 36530316615 48707088820 73060633230 146121266460