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144303034134 = 23747894391871
BaseRepresentation
bin1000011001100100100…
…0011000111100010110
3111210110201121122212210
42012121020120330112
54331013034043014
6150143014454250
713265651360220
oct2063110307426
9453421548783
10144303034134
11562203343a6
1223b72964386
13107b920453c
146dacd05410
153b488a4859
hex2199218f16

144303034134 has 128 divisors (see below), whose sum is σ = 341596569600. Its totient is φ = 39786658560.

The previous prime is 144303034133. The next prime is 144303034147. The reversal of 144303034134 is 431430303441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144303034133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77125219 + ... + 77127089.

It is an arithmetic number, because the mean of its divisors is an integer number (2668723200).

Almost surely, 2144303034134 is an apocalyptic number.

144303034134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144303034134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170798284800).

144303034134 is an abundant number, since it is smaller than the sum of its proper divisors (197293535466).

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

144303034134 is a wasteful number, since it uses less digits than its factorization.

144303034134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 144303034134 its reverse (431430303441), we get a palindrome (575733337575).

The spelling of 144303034134 in words is "one hundred forty-four billion, three hundred three million, thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 89 94 141 178 267 282 329 439 534 623 658 878 987 1246 1317 1869 1871 1974 2634 3073 3738 3742 4183 5613 6146 8366 9219 11226 12549 13097 18438 20633 25098 26194 29281 39071 39291 41266 58562 61899 78142 78582 87843 87937 117213 123798 144431 166519 175686 175874 234426 263811 273497 288862 333038 433293 499557 527622 546994 615559 820491 821369 866586 999114 1165633 1231118 1640982 1642738 1836337 1846677 2331266 2464107 3496899 3672674 3693354 4928214 5509011 5749583 6993798 7826393 11018022 11499166 12854359 15652786 17248749 23479179 25708718 34497498 38563077 38604343 46958358 54784751 73101841 77126154 77208686 109569502 115813029 146203682 164354253 219305523 231626058 270230401 328708506 438611046 511712887 540460802 810691203 1023425774 1535138661 1621382406 3070277322 3435786527 6871573054 10307359581 20614719162 24050505689 48101011378 72151517067 144303034134