Search a number
-
+
144170356304 = 24136128340151
BaseRepresentation
bin1000011001000100111…
…0010000111001010000
3111210010110221221010002
42012101032100321100
54330230102400204
6150121515025132
713262450544332
oct2062116207120
9453113857102
10144170356304
11561624535a7
1223b3643b1a8
131079788bc50
146d99449452
153b3bde791e
hex2191390e50

144170356304 has 80 divisors (see below), whose sum is σ = 306836444544. Its totient is φ = 65216448000.

The previous prime is 144170356289. The next prime is 144170356327. The reversal of 144170356304 is 403653071441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3570629 + ... + 3610779.

Almost surely, 2144170356304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144170356304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153418222272).

144170356304 is an abundant number, since it is smaller than the sum of its proper divisors (162666088240).

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

144170356304 is a wasteful number, since it uses less digits than its factorization.

144170356304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40516 (or 40510 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 144170356304 in words is "one hundred forty-four billion, one hundred seventy million, three hundred fifty-six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 283 488 566 793 976 1132 1586 2264 3172 3679 4528 6344 7358 12688 14716 17263 29432 34526 40151 58864 69052 80302 138104 160604 224419 276208 321208 448838 521963 642416 897676 1043926 1795352 2087852 2449211 3590704 4175704 4898422 8351408 9796844 11362733 19593688 22725466 31839743 39187376 45450932 63679486 90901864 127358972 147715529 181803728 254717944 295431058 509435888 590862116 693126713 1181724232 1386253426 2363448464 2772506852 5545013704 9010647269 11090027408 18021294538 36042589076 72085178152 144170356304