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141614266416 = 24371405729983
BaseRepresentation
bin1000001111100011011…
…1100011100000110000
3111112112100020002222020
42003320313203200300
54310011223011131
6145020125111440
713142222255250
oct2037067434060
9445470202866
10141614266416
115507061a417
12235423b8580
131047b15151c
146bd5b97960
153a3c7dc996
hex20f8de3830

141614266416 has 80 divisors (see below), whose sum is σ = 418142951424. Its totient is φ = 40456991232.

The previous prime is 141614266369. The next prime is 141614266421. The reversal of 141614266416 is 614662416141.

141614266416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4708161 + ... + 4738143.

Almost surely, 2141614266416 is an apocalyptic number.

141614266416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141614266416 is an abundant number, since it is smaller than the sum of its proper divisors (276528685008).

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

141614266416 is a wasteful number, since it uses less digits than its factorization.

141614266416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44058 (or 44052 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 141614266416 in words is "one hundred forty-one billion, six hundred fourteen million, two hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 14057 28114 29983 42171 56228 59966 84342 89949 98399 112456 119932 168684 179898 196798 209881 224912 239864 295197 337368 359796 393596 419762 479728 590394 629643 674736 719592 787192 839524 1180788 1259286 1439184 1574384 1679048 2361576 2518572 3358096 4723152 5037144 10074288 421471031 842942062 1264413093 1685884124 2528826186 2950297217 3371768248 5057652372 5900594434 6743536496 8850891651 10115304744 11801188868 17701783302 20230609488 23602377736 35403566604 47204755472 70807133208 141614266416