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141405440 = 28511383
BaseRepresentation
bin10000110110110…
…10110100000000
3100212002010210112
420123122310000
5242144433230
622010450452
73334632521
oct1033326400
9325063715
10141405440
1172902000
123b433a28
13233acc77
1414acc848
15c632d95
hex86dad00

141405440 has 144 divisors (see below), whose sum is σ = 377044416. Its totient is φ = 50800640.

The previous prime is 141405427. The next prime is 141405491. The reversal of 141405440 is 44504141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703639 + ... + 1703721.

It is an arithmetic number, because the mean of its divisors is an integer number (2618364).

Almost surely, 2141405440 is an apocalyptic number.

141405440 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 141405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188522208).

141405440 is an abundant number, since it is smaller than the sum of its proper divisors (235638976).

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

141405440 is an frugal number, since it uses more digits than its factorization.

141405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 141405440 is about 11891.4019358526. The cubic root of 141405440 is about 520.9811849189.

Adding to 141405440 its reverse (44504141), we get a palindrome (185909581).

The spelling of 141405440 in words is "one hundred forty-one million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 83 88 110 121 128 160 166 176 220 242 256 320 332 352 415 440 484 605 640 664 704 830 880 913 968 1210 1280 1328 1331 1408 1660 1760 1826 1936 2420 2656 2662 2816 3320 3520 3652 3872 4565 4840 5312 5324 6640 6655 7040 7304 7744 9130 9680 10043 10624 10648 13280 13310 14080 14608 15488 18260 19360 20086 21248 21296 26560 26620 29216 30976 36520 38720 40172 42592 50215 53120 53240 58432 73040 77440 80344 85184 100430 106240 106480 110473 116864 146080 154880 160688 170368 200860 212960 220946 233728 292160 321376 340736 401720 425920 441892 552365 584320 642752 803440 851840 883784 1104730 1168640 1285504 1606880 1703680 1767568 2209460 2571008 3213760 3535136 4418920 6427520 7070272 8837840 12855040 14140544 17675680 28281088 35351360 70702720 141405440