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145001426106124 = 227212833719155047
BaseRepresentation
bin100000111110000011000110…
…011111101011011100001100
3201000102000000200211100211201
4200332003012133223130030
5123001200410040343444
61232220422513555244
742354002340534100
oct4076030637533414
9630360020740751
10145001426106124
1142224839948405
121431a2b8275b24
1362ba764093c33
1427b416c21d900
1511b6c4700cdd4
hex83e0c67eb70c

145001426106124 has 72 divisors (see below), whose sum is σ = 295492884744960. Its totient is φ = 62077935183264.

The previous prime is 145001426106113. The next prime is 145001426106133. The reversal of 145001426106124 is 421601624100541.

145001426106124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935131969 + ... + 935287015.

It is an arithmetic number, because the mean of its divisors is an integer number (4104067843680).

Almost surely, 2145001426106124 is an apocalyptic number.

145001426106124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145001426106124 is an abundant number, since it is smaller than the sum of its proper divisors (150491458638836).

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

145001426106124 is a wasteful number, since it uses less digits than its factorization.

145001426106124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160067 (or 160058 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 145001426106124 in words is "one hundred forty-five trillion, one billion, four hundred twenty-six million, one hundred six thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 1283 2566 3719 5132 7438 8981 14876 17962 26033 35924 52066 62867 104132 125734 155047 182231 251468 310094 364462 620188 728924 1085329 2170658 4341316 4771477 7597303 9542954 15194606 19085908 30389212 33400339 66800678 133601356 198925301 233802373 397850602 467604746 576619793 795701204 935209492 1153239586 1392477107 2306479172 2784954214 4036338551 5569908428 8072677102 9747339749 16145354204 19494679498 28254369857 38989358996 56508739714 113017479428 739803194419 1479606388838 2959212777676 5178622360933 10357244721866 20714489443732 36250356526531 72500713053062 145001426106124