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145412440 = 23523179883
BaseRepresentation
bin10001010101011…
…01000101011000
3101010121201100221
420222231011120
5244211144230
622232405424
73413661655
oct1052550530
9333551327
10145412440
1175099578
1240846874
1324183a84
1415452c2c
15cb7527a
hex8aad158

145412440 has 64 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 55262592.

The previous prime is 145412429. The next prime is 145412447. The reversal of 145412440 is 44214541.

It is a super-2 number, since 2×1454124402 = 42289555413507200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164239 + ... + 165121.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2145412440 is an apocalyptic number.

145412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

145412440 is an abundant number, since it is smaller than the sum of its proper divisors (198286760).

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

145412440 is a wasteful number, since it uses less digits than its factorization.

145412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 145412440 is about 12058.7080568359. The cubic root of 145412440 is about 525.8564283083.

Adding to 145412440 its reverse (44214541), we get a palindrome (189626981).

The spelling of 145412440 in words is "one hundred forty-five million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 179 184 230 358 460 716 883 895 920 1432 1766 1790 3532 3580 4117 4415 7064 7160 8234 8830 16468 17660 20309 20585 32936 35320 40618 41170 81236 82340 101545 158057 162472 164680 203090 316114 406180 632228 790285 812360 1264456 1580570 3161140 3635311 6322280 7270622 14541244 18176555 29082488 36353110 72706220 145412440