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144207519040 = 2651334665269
BaseRepresentation
bin1000011001001101110…
…0000001110101000000
3111210020001212222210201
42012103130001311000
54330314111102130
6150125323334544
713263411454444
oct2062334016500
9453201788721
10144207519040
1156181426502
1223b46981454
13107a24a1230
146da0360824
153b402d8bca
hex2193701d40

144207519040 has 56 divisors (see below), whose sum is σ = 369809100360. Its totient is φ = 53245851648.

The previous prime is 144207519031. The next prime is 144207519109. The reversal of 144207519040 is 40915702441.

It can be written as a sum of positive squares in 4 ways, for example, as 9477411904 + 134730107136 = 97352^2 + 367056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17328475 + ... + 17336794.

It is an arithmetic number, because the mean of its divisors is an integer number (6603733935).

Almost surely, 2144207519040 is an apocalyptic number.

144207519040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144207519040 is an abundant number, since it is smaller than the sum of its proper divisors (225601581320).

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

144207519040 is a wasteful number, since it uses less digits than its factorization.

144207519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34665299 (or 34665289 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 144207519040 in words is "one hundred forty-four billion, two hundred seven million, five hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 34665269 69330538 138661076 173326345 277322152 346652690 450648497 554644304 693305380 901296994 1109288608 1386610760 1802593988 2218577216 2253242485 2773221520 3605187976 4506484970 5546443040 7210375952 9012969940 11092886080 14420751904 18025939880 28841503808 36051879760 72103759520 144207519040