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150139200484 = 227213221292
BaseRepresentation
bin1000101111010011111…
…1100110001111100100
3112100112110101122001001
42023310333212033210
54424441113403414
6152550100043044
713563406101400
oct2136477461744
9470473348031
10150139200484
1158745734579
1225121393484
1311209369900
1473a4068100
153d8ae29074
hex22f4fe63e4

150139200484 has 81 divisors (see below), whose sum is σ = 331115374107. Its totient is φ = 59367829248.

The previous prime is 150139200469. The next prime is 150139200539. The reversal of 150139200484 is 484002931051.

The square root of 150139200484 is 387478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54826222500 + 95312977984 = 234150^2 + 308728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70519932 + ... + 70522060.

Almost surely, 2150139200484 is an apocalyptic number.

150139200484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

150139200484 is the 387478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150139200484

150139200484 is an abundant number, since it is smaller than the sum of its proper divisors (180976173623).

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

150139200484 is an equidigital number, since it uses as much as digits as its factorization.

150139200484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 150139200484 in words is "one hundred fifty billion, one hundred thirty-nine million, two hundred thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2129 2366 2548 4258 4732 8281 8516 14903 16562 27677 29806 33124 55354 59612 104321 110708 193739 208642 359801 387478 417284 719602 774956 1356173 1439204 2518607 2712346 4532641 5037214 5424692 9065282 10074428 17630249 18130564 31728487 35260498 58924333 63456974 70520996 117848666 126913948 222099409 235697332 412470331 444198818 766016329 824940662 888397636 1532032658 1649881324 2887292317 3064065316 5362114303 5774584634 10724228606 11549169268 21448457212 37534800121 75069600242 150139200484