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145814412192 = 2531518900127
BaseRepresentation
bin1000011111001100110…
…1110101101110100000
3111221101001112121210220
42013303031311232200
54342111442142232
6150553004523040
713351263024231
oct2076315655640
9457331477726
10145814412192
1156926486079
1224314b50480
131099a37b697
1470b392b088
153bd63ea42c
hex21f3375ba0

145814412192 has 24 divisors (see below), whose sum is σ = 382762832256. Its totient is φ = 48604804032.

The previous prime is 145814412169. The next prime is 145814412197. The reversal of 145814412192 is 291214418541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (145814412197) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 759449968 + ... + 759450159.

It is an arithmetic number, because the mean of its divisors is an integer number (15948451344).

Almost surely, 2145814412192 is an apocalyptic number.

145814412192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145814412192 is an abundant number, since it is smaller than the sum of its proper divisors (236948420064).

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

145814412192 is a wasteful number, since it uses less digits than its factorization.

145814412192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518900140 (or 1518900132 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The spelling of 145814412192 in words is "one hundred forty-five billion, eight hundred fourteen million, four hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1518900127 3037800254 4556700381 6075600508 9113400762 12151201016 18226801524 24302402032 36453603048 48604804064 72907206096 145814412192