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144077774340 = 223531317244357
BaseRepresentation
bin1000011000101110110…
…1000101111000000100
3111202220000202021112110
42012023231011320010
54330032402234330
6150104410421020
713260244606143
oct2061355057004
9452800667473
10144077774340
1156115169385
1223b0b431770
1310781644a16
146d8b02975a
153b33c0adb0
hex218bb45e04

144077774340 has 96 divisors (see below), whose sum is σ = 417746617344. Its totient is φ = 37063918080.

The previous prime is 144077774297. The next prime is 144077774341. The reversal of 144077774340 is 43477770441.

144077774340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144077774340.

It is not an unprimeable number, because it can be changed into a prime (144077774341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467442 + ... + 711798.

It is an arithmetic number, because the mean of its divisors is an integer number (4351527264).

Almost surely, 2144077774340 is an apocalyptic number.

144077774340 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 144077774340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208873308672).

144077774340 is an abundant number, since it is smaller than the sum of its proper divisors (273668843004).

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

144077774340 is a wasteful number, since it uses less digits than its factorization.

144077774340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244717 (or 244715 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 48.

The spelling of 144077774340 in words is "one hundred forty-four billion, seventy-seven million, seven hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 317 372 465 620 634 930 951 1268 1585 1860 1902 3170 3804 4755 6340 9510 9827 19020 19654 29481 39308 49135 58962 98270 117924 147405 196540 244357 294810 488714 589620 733071 977428 1221785 1466142 2443570 2932284 3665355 4887140 7330710 7575067 14661420 15150134 22725201 30300268 37875335 45450402 75750670 77461169 90900804 113626005 151501340 154922338 227252010 232383507 309844676 387305845 454504020 464767014 774611690 929534028 1161917535 1549223380 2323835070 2401296239 4647670140 4802592478 7203888717 9605184956 12006481195 14407777434 24012962390 28815554868 36019443585 48025924780 72038887170 144077774340