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150342434327560 = 23537271443846149
BaseRepresentation
bin100010001011110001010011…
…011001001000110000001000
3201201022121002202002000022011
4202023301103121020300020
5124201202301141440220
61251430205540105304
743444611450414526
oct4213612331106010
9651277082060264
10150342434327560
11439a3960838962
1214a41455095234
1365b72ccb94687
14291a881163316
15125ab4217c65a
hex88bc53648c08

150342434327560 has 128 divisors (see below), whose sum is σ = 349482423744000. Its totient is φ = 58164078136320.

The previous prime is 150342434327543. The next prime is 150342434327563. The reversal of 150342434327560 is 65723434243051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150342434327563) 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, 177255366 + ... + 178101514.

It is an arithmetic number, because the mean of its divisors is an integer number (2730331435500).

Almost surely, 2150342434327560 is an apocalyptic number.

150342434327560 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 150342434327560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741211872000).

150342434327560 is an abundant number, since it is smaller than the sum of its proper divisors (199139989416440).

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

150342434327560 is a wasteful number, since it uses less digits than its factorization.

150342434327560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846911 (or 846907 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 49.

The spelling of 150342434327560 in words is "one hundred fifty trillion, three hundred forty-two billion, four hundred thirty-four million, three hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 271 296 370 443 542 740 886 1084 1355 1480 1772 2168 2215 2710 3544 4430 5420 8860 10027 10840 16391 17720 20054 32782 40108 50135 65564 80216 81955 100270 120053 131128 163910 200540 240106 327820 401080 480212 600265 655640 846149 960424 1200530 1692298 2401060 3384596 4230745 4441961 4802120 6769192 8461490 8883922 16922980 17767844 22209805 31307513 33845960 35535688 44419610 62615026 88839220 125230052 156537565 177678440 229306379 250460104 313075130 374844007 458612758 626150260 749688014 917225516 1146531895 1252300520 1499376028 1834451032 1874220035 2293063790 2998752056 3748440070 4586127580 7496880140 8484336023 9172255160 13869228259 14993760280 16968672046 27738456518 33937344092 42421680115 55476913036 67874688184 69346141295 84843360230 101582725897 110953826072 138692282590 169686720460 203165451794 277384565180 339373440920 406330903588 507913629485 554769130360 812661807176 1015827258970 2031654517940 3758560858189 4063309035880 7517121716378 15034243432756 18792804290945 30068486865512 37585608581890 75171217163780 150342434327560