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424022553144 = 233243901115199
BaseRepresentation
bin1100010101110011011…
…01101011001000111000
31111112110212020111210100
412022321231223020320
523421344233200034
6522443202515400
742430450143051
oct6127155531070
91445425214710
10424022553144
1115391074a103
126a218365b60
1330ca6502c28
14167467cd728
15b06a892099
hex62b9b6b238

424022553144 has 96 divisors (see below), whose sum is σ = 1175308992000. Its totient is φ = 138029451840.

The previous prime is 424022553133. The next prime is 424022553161. The reversal of 424022553144 is 441355220424.

424022553144 is a `hidden beast` number, since 4 + 2 + 40 + 22 + 553 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424022553099 and 424022553108.

It is a congruent number.

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, 27890457 + ... + 27905655.

It is an arithmetic number, because the mean of its divisors is an integer number (12242802000).

Almost surely, 2424022553144 is an apocalyptic number.

It is an amenable number.

424022553144 is an abundant number, since it is smaller than the sum of its proper divisors (751286438856).

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

424022553144 is a wasteful number, since it uses less digits than its factorization.

424022553144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24265 (or 24258 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 424022553144 its reverse (441355220424), we get a palindrome (865377773568).

The spelling of 424022553144 in words is "four hundred twenty-four billion, twenty-two million, five hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 9011 15199 18022 27033 30398 36044 45597 54066 60796 72088 81099 91194 108132 121592 136791 162198 182388 216264 273582 324396 364776 387473 547164 648792 653557 774946 1094328 1162419 1307114 1549892 1960671 2324838 2614228 3099784 3487257 3921342 4649676 5228456 5882013 6974514 7842684 9299352 11764026 13949028 15685368 23528052 27898056 47056104 136958189 273916378 410874567 547832756 821749134 1095665512 1232623701 1643498268 2465247402 3286996536 4930494804 5889202127 9860989608 11778404254 17667606381 23556808508 35335212762 47113617016 53002819143 70670425524 106005638286 141340851048 212011276572 424022553144