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145402043625 = 3353432773617
BaseRepresentation
bin1000011101101010100…
…0110001110011101001
3111220022022121010111000
42013122220301303221
54340240410344000
6150444034225213
713335124656426
oct2073250616351
9456268533430
10145402043625
1156734732503
122421aa25209
1310932ac9407
147074c66d4d
153bb00e2000
hex21daa31ce9

145402043625 has 128 divisors (see below), whose sum is σ = 276153546240. Its totient is φ = 75450009600.

The previous prime is 145402043621. The next prime is 145402043653. The reversal of 145402043625 is 526340204541.

145402043625 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 0 + 20 + 4 + 3 + 625 = 666.

145402043625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145402043625 - 22 = 145402043621 is a prime.

It is a super-2 number, since 2×1454020436252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145402043625.

It is not an unprimeable number, because it can be changed into a prime (145402043621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40197817 + ... + 40201433.

It is an arithmetic number, because the mean of its divisors is an integer number (2157449580).

Almost surely, 2145402043625 is an apocalyptic number.

145402043625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145402043625 is a deficient number, since it is larger than the sum of its proper divisors (130751502615).

145402043625 is a wasteful number, since it uses less digits than its factorization.

145402043625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 145402043625 in words is "one hundred forty-five billion, four hundred two million, forty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 125 129 135 215 225 277 375 387 645 675 831 1075 1125 1161 1385 1935 2493 3225 3375 3617 4155 5375 5805 6925 7479 9675 10851 11911 12465 16125 18085 20775 29025 32553 34625 35733 37395 48375 54255 59555 62325 90425 97659 103875 107199 145125 155531 162765 178665 186975 271275 297775 311625 321597 452125 466593 488295 535995 777655 813825 893325 934875 1001909 1356375 1399779 1488875 1607985 2332965 2441475 2679975 3005727 3888275 4069125 4199337 4466625 5009545 6998895 8039925 9017181 11664825 12207375 13399875 15028635 19441375 20996685 25047725 27051543 34994475 40199625 43082087 45085905 58324125 75143175 104983425 125238625 129246261 135257715 174972375 215410435 225429525 375715875 387738783 524917125 646231305 676288575 1077052175 1127147625 1163216349 1938693915 3231156525 3381442875 5385260875 5816081745 9693469575 16155782625 29080408725 48467347875 145402043625