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144001402120 = 23531412832443
BaseRepresentation
bin1000011000011100100…
…1110000010100001000
3111202200201001011112201
42012013021300110020
54324403324331440
6150053041445544
713255326502462
oct2060711602410
9452621034481
10144001402120
1156086045844
1223aa99408b4
131076b884964
146d80c29132
153b2c17219a
hex2187270508

144001402120 has 64 divisors (see below), whose sum is σ = 342612426240. Its totient is φ = 54382886400.

The previous prime is 144001402109. The next prime is 144001402159. The reversal of 144001402120 is 21204100441.

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 15 ways as a sum of consecutive naturals, for example, 1365382 + ... + 1467061.

It is an arithmetic number, because the mean of its divisors is an integer number (5353319160).

Almost surely, 2144001402120 is an apocalyptic number.

144001402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001402120 is an abundant number, since it is smaller than the sum of its proper divisors (198611024120).

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

144001402120 is a wasteful number, since it uses less digits than its factorization.

144001402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832526 (or 2832522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 144001402120 its reverse (21204100441), we get a palindrome (165205502561).

It can be divided in two parts, 144001 and 402120, that added together give a square (546121 = 7392).

The spelling of 144001402120 in words is "one hundred forty-four billion, one million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 10168 12710 25420 50840 2832443 5664886 11329772 14162215 22659544 28324430 56648860 87805733 113297720 116130163 175611466 232260326 351222932 439028665 464520652 580650815 702445864 878057330 929041304 1161301630 1756114660 2322603260 3512229320 3600035053 4645206520 7200070106 14400140212 18000175265 28800280424 36000350530 72000701060 144001402120