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150114100000 = 25552365267
BaseRepresentation
bin1000101111001101111…
…1110110001100100000
3112100110201011101122111
42023303133312030200
54424413202200000
6152543402045104
713562652540214
oct2136337661440
9470421141574
10150114100000
1158732550177
1225114aa9794
13112040bba57
1473a09b2944
153d88b1bcba
hex22f37f6320

150114100000 has 144 divisors (see below), whose sum is σ = 385464453696. Its totient is φ = 57434080000.

The previous prime is 150114099979. The next prime is 150114100001. The reversal of 150114100000 is 1411051.

It is not an unprimeable number, because it can be changed into a prime (150114100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2267367 + ... + 2332633.

It is an arithmetic number, because the mean of its divisors is an integer number (2676836484).

Almost surely, 2150114100000 is an apocalyptic number.

150114100000 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 150114100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192732226848).

150114100000 is an abundant number, since it is smaller than the sum of its proper divisors (235350353696).

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

150114100000 is an frugal number, since it uses more digits than its factorization.

150114100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65325 (or 65297 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 150114100000 its reverse (1411051), we get a palindrome (150115511051).

The spelling of 150114100000 in words is "one hundred fifty billion, one hundred fourteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 3680 4000 4600 5000 5750 6250 9200 10000 11500 12500 14375 18400 20000 23000 25000 28750 46000 50000 57500 65267 71875 92000 100000 115000 130534 143750 230000 261068 287500 326335 460000 522136 575000 652670 1044272 1150000 1305340 1501141 1631675 2088544 2300000 2610680 3002282 3263350 5221360 6004564 6526700 7505705 8158375 10442720 12009128 13053400 15011410 16316750 24018256 26106800 30022820 32633500 37528525 40791875 48036512 52213600 60045640 65267000 75057050 81583750 120091280 130534000 150114100 163167500 187642625 203959375 240182560 261068000 300228200 326335000 375285250 407918750 600456400 652670000 750570500 815837500 938213125 1200912800 1305340000 1501141000 1631675000 1876426250 3002282000 3263350000 3752852500 4691065625 6004564000 6526700000 7505705000 9382131250 15011410000 18764262500 30022820000 37528525000 75057050000 150114100000