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145894394970 = 23451151156487
BaseRepresentation
bin1000011111011111111…
…0111100110001011010
3111221120122001011120000
42013313332330301122
54342242431114340
6151004543113430
713353253616202
oct2076776746132
9457518034500
10145894394970
1156967645345
12243378a2876
13109b0b03c7c
1470c03cb402
153bdd448d30
hex21f7fbcc5a

145894394970 has 80 divisors (see below), whose sum is σ = 392637155328. Its totient is φ = 38871122400.

The previous prime is 145894394959. The next prime is 145894394977. The reversal of 145894394970 is 79493498541.

145894394970 is a `hidden beast` number, since 1 + 4 + 58 + 94 + 3 + 9 + 497 + 0 = 666.

It is a super-2 number, since 2×1458943949702 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145894394898 and 145894394907.

It is not an unprimeable number, because it can be changed into a prime (145894394977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 854067 + ... + 1010553.

Almost surely, 2145894394970 is an apocalyptic number.

145894394970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145894394970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196318577664).

145894394970 is an abundant number, since it is smaller than the sum of its proper divisors (246742760358).

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

145894394970 is a wasteful number, since it uses less digits than its factorization.

145894394970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157657 (or 157648 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 145894394970 in words is "one hundred forty-five billion, eight hundred ninety-four million, three hundred ninety-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1151 2302 3453 5755 6906 10359 11510 17265 20718 31077 34530 51795 62154 93231 103590 155385 156487 186462 310770 312974 466155 469461 782435 932310 938922 1408383 1564870 2347305 2816766 4225149 4694610 7041915 8450298 12675447 14083830 21125745 25350894 42251490 63377235 126754470 180116537 360233074 540349611 900582685 1080699222 1621048833 1801165370 2701748055 3242097666 4863146499 5403496110 8105244165 9726292998 14589439497 16210488330 24315732495 29178878994 48631464990 72947197485 145894394970