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150223625034 = 237223123118047
BaseRepresentation
bin1000101111101000000…
…1101001101101001010
3112100202100020211202020
42023322001221231022
54430124222000114
6153002313345310
713565452513200
oct2137201515512
9470670224666
10150223625034
1158789357a2a
1225145708236
13112209b8b72
1473b1363070
153d93553aa9
hex22fa069b4a

150223625034 has 96 divisors (see below), whose sum is σ = 365011992576. Its totient is φ = 41019279840.

The previous prime is 150223625023. The next prime is 150223625051. The reversal of 150223625034 is 430526322051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150223624986 and 150223625004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8314999 + ... + 8333045.

It is an arithmetic number, because the mean of its divisors is an integer number (3802208256).

Almost surely, 2150223625034 is an apocalyptic number.

150223625034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150223625034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182505996288).

150223625034 is an abundant number, since it is smaller than the sum of its proper divisors (214788367542).

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

150223625034 is a wasteful number, since it uses less digits than its factorization.

150223625034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 150223625034 its reverse (430526322051), we get a palindrome (580749947085).

The spelling of 150223625034 in words is "one hundred fifty billion, two hundred twenty-three million, six hundred twenty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 966 1127 1231 2254 2462 3381 3693 6762 7386 8617 17234 18047 25851 28313 36094 51702 54141 56626 60319 84939 108282 120638 126329 169878 180957 198191 252658 361914 378987 396382 415081 594573 757974 830162 884303 1189146 1245243 1387337 1768606 2490486 2652909 2774674 2905567 4162011 5305818 5811134 8324022 8716701 17433402 20338969 22215857 40677938 44431714 61016907 66647571 122033814 133295142 155510999 311021998 466532997 510964711 933065994 1021929422 1088576993 1532894133 2177153986 3065788266 3265730979 3576752977 6531461958 7153505954 10730258931 21460517862 25037270839 50074541678 75111812517 150223625034