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144215402442656 = 2585712781411449
BaseRepresentation
bin100000110010100111000011…
…110101010110111110100000
3200220121212011100122002020212
4200302213003311112332200
5122400311121011131111
61230415350302553252
742243135053612636
oct4062470365267640
9626555140562225
10144215402442656
1141a51454a9a166
1214211ab2598828
1362615b985c69c
1427880c4171356
1511a1590c2798b
hex8329c3d56fa0

144215402442656 has 48 divisors (see below), whose sum is σ = 284278304910600. Its totient is φ = 72017751306240.

The previous prime is 144215402442623. The next prime is 144215402442667. The reversal of 144215402442656 is 656244204512441.

It can be written as a sum of positive squares in 4 ways, for example, as 130570387027600 + 13645015415056 = 11426740^2 + 3693916^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350300420 + ... + 350711868.

Almost surely, 2144215402442656 is an apocalyptic number.

144215402442656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144215402442656 is a deficient number, since it is larger than the sum of its proper divisors (140062902467944).

144215402442656 is a wasteful number, since it uses less digits than its factorization.

144215402442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425097 (or 425089 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 50.

The spelling of 144215402442656 in words is "one hundred forty-four trillion, two hundred fifteen billion, four hundred two million, four hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 857 1714 3428 6856 12781 13712 25562 27424 51124 102248 204496 408992 411449 822898 1645796 3291592 6583184 10953317 13166368 21906634 43813268 87626536 175253072 350506144 352611793 705223586 1410447172 2820894344 5258729669 5641788688 10517459338 11283577376 21034918676 42069837352 84139674704 168279349408 4506731326333 9013462652666 18026925305332 36053850610664 72107701221328 144215402442656