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150405040000 = 27543495387
BaseRepresentation
bin1000110000010011010…
…1101100011110000000
3112101012222121200022001
42030010311230132000
54431012142240000
6153032313553344
713603114513615
oct2140465543600
9471188550261
10150405040000
11588717a6756
1225196415854
131124c466ab7
1473cb4a850c
153da443b46a
hex2304d6c780

150405040000 has 160 divisors (see below), whose sum is σ = 375566499000. Its totient is φ = 59978496000.

The previous prime is 150405039943. The next prime is 150405040001. The reversal of 150405040000 is 40504051.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 150405040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150405040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27917307 + ... + 27922693.

Almost surely, 2150405040000 is an apocalyptic number.

150405040000 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 150405040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187783249500).

150405040000 is an abundant number, since it is smaller than the sum of its proper divisors (225161459000).

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

150405040000 is an frugal number, since it uses more digits than its factorization.

150405040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 150405040000 its reverse (40504051), we get a palindrome (150445544051).

The spelling of 150405040000 in words is "one hundred fifty billion, four hundred five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 349 400 500 625 640 698 800 1000 1250 1396 1600 1745 2000 2500 2792 3200 3490 4000 5000 5387 5584 6980 8000 8725 10000 10774 11168 13960 16000 17450 20000 21548 22336 26935 27920 34900 40000 43096 43625 44672 53870 55840 69800 80000 86192 87250 107740 111680 134675 139600 172384 174500 215480 218125 223360 269350 279200 344768 349000 430960 436250 538700 558400 673375 689536 698000 861920 872500 1077400 1116800 1346750 1396000 1723840 1745000 1880063 2154800 2693500 2792000 3366875 3447680 3490000 3760126 4309600 5387000 5584000 6733750 6980000 7520252 8619200 9400315 10774000 13467500 13960000 15040504 17238400 18800630 21548000 26935000 27920000 30081008 37601260 43096000 47001575 53870000 60162016 75202520 86192000 94003150 107740000 120324032 150405040 188006300 215480000 235007875 240648064 300810080 376012600 430960000 470015750 601620160 752025200 940031500 1175039375 1203240320 1504050400 1880063000 2350078750 3008100800 3760126000 4700157500 6016201600 7520252000 9400315000 15040504000 18800630000 30081008000 37601260000 75202520000 150405040000