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150402440000 = 265428113381
BaseRepresentation
bin1000110000010010101…
…1110001101101000000
3112101012210201120202202
42030010223301231000
54431011011040000
6153032142132332
713603053434501
oct2140453615500
9471183646682
10150402440000
115887029029a
12251955810a8
131124ba66537
1473cadccba8
153da40c5dd5
hex2304af1b40

150402440000 has 140 divisors (see below), whose sum is σ = 374304362388. Its totient is φ = 59942400000.

The previous prime is 150402439963. The next prime is 150402440021. The reversal of 150402440000 is 44204051.

It can be written as a sum of positive squares in 10 ways, for example, as 130026590464 + 20375849536 = 360592^2 + 142744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11233310 + ... + 11246690.

Almost surely, 2150402440000 is an apocalyptic number.

150402440000 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 150402440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187152181194).

150402440000 is an abundant number, since it is smaller than the sum of its proper divisors (223901922388).

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

150402440000 is an equidigital number, since it uses as much as digits as its factorization.

150402440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13694 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 150402440000 its reverse (44204051), we get a palindrome (150446644051).

The spelling of 150402440000 in words is "one hundred fifty billion, four hundred two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 281 320 400 500 562 625 800 1000 1124 1250 1405 1600 2000 2248 2500 2810 4000 4496 5000 5620 7025 8000 8992 10000 11240 13381 14050 17984 20000 22480 26762 28100 35125 40000 44960 53524 56200 66905 70250 89920 107048 112400 133810 140500 175625 214096 224800 267620 281000 334525 351250 428192 449600 535240 562000 669050 702500 856384 1070480 1124000 1338100 1405000 1672625 2140960 2248000 2676200 2810000 3345250 3760061 4281920 5352400 5620000 6690500 7520122 8363125 10704800 11240000 13381000 15040244 16726250 18800305 21409600 26762000 30080488 33452500 37600610 53524000 60160976 66905000 75201220 94001525 107048000 120321952 133810000 150402440 188003050 240643904 267620000 300804880 376006100 470007625 535240000 601609760 752012200 940015250 1203219520 1504024400 1880030500 2350038125 3008048800 3760061000 4700076250 6016097600 7520122000 9400152500 15040244000 18800305000 30080488000 37600610000 75201220000 150402440000