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150344215120 = 245111729346543
BaseRepresentation
bin1000110000000100110…
…1101010101001010000
3112101001202011110020201
42030001031222221100
54430401104340440
6153022302144544
713601445512611
oct2140115525120
9471052143221
10150344215120
1158840432060
1225179b82154
131123c98b548
1473c3393c08
153d9de2419a
hex230136aa50

150344215120 has 160 divisors (see below), whose sum is σ = 417682552320. Its totient is φ = 49680261120.

The previous prime is 150344215117. The next prime is 150344215127. The reversal of 150344215120 is 21512443051.

It is a super-2 number, since 2×1503442151202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150344215127) 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, 260569 + ... + 607111.

It is an arithmetic number, because the mean of its divisors is an integer number (2610515952).

Almost surely, 2150344215120 is an apocalyptic number.

150344215120 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 150344215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208841276160).

150344215120 is an abundant number, since it is smaller than the sum of its proper divisors (267338337200).

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

150344215120 is a wasteful number, since it uses less digits than its factorization.

150344215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346613 (or 346607 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 150344215120 its reverse (21512443051), we get a palindrome (171856658171).

The spelling of 150344215120 in words is "one hundred fifty billion, three hundred forty-four million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 29 34 40 44 55 58 68 80 85 88 110 116 136 145 170 176 187 220 232 272 290 319 340 374 440 464 493 580 638 680 748 880 935 986 1160 1276 1360 1496 1595 1870 1972 2320 2465 2552 2992 3190 3740 3944 4930 5104 5423 6380 7480 7888 9860 10846 12760 14960 19720 21692 25520 27115 39440 43384 54230 86768 108460 216920 346543 433840 693086 1386172 1732715 2772344 3465430 3811973 5544688 5891231 6930860 7623946 10049747 11782462 13861720 15247892 19059865 20099494 23564924 27723440 29456155 30495784 38119730 40198988 47129848 50248735 58912310 60991568 64803541 76239460 80397976 94259696 100497470 110547217 117824620 129607082 152478920 160795952 170845699 200994940 221094434 235649240 259214164 304957840 324017705 341691398 401989880 442188868 471298480 518428328 552736085 648035410 683382796 803979760 854228495 884377736 1036856656 1105472170 1296070820 1366765592 1708456990 1768755472 1879302689 2210944340 2592141640 2733531184 3416913980 3758605378 4421888680 5184283280 6833827960 7517210756 8843777360 9396513445 13667655920 15034421512 18793026890 30068843024 37586053780 75172107560 150344215120