Search a number
-
+
150140726088 = 233231673115237
BaseRepresentation
bin1000101111010100010…
…1011010101101001000
3112100112120021010202220
42023311011122231020
54424442011213323
6152550152454040
713563425054253
oct2136505325510
9470476233686
10150140726088
1158746586801
12251219aa320
1311209782132
1473a434409a
153d8b12b0e3
hex22f515ab48

150140726088 has 128 divisors (see below), whose sum is σ = 395359211520. Its totient is φ = 47422242560.

The previous prime is 150140726081. The next prime is 150140726147. The reversal of 150140726088 is 880627041051.

150140726088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1501407260883 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (150140726081) 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, 28666606 + ... + 28671842.

It is an arithmetic number, because the mean of its divisors is an integer number (3088743840).

Almost surely, 2150140726088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150140726088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197679605760).

150140726088 is an abundant number, since it is smaller than the sum of its proper divisors (245218485432).

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

150140726088 is a wasteful number, since it uses less digits than its factorization.

150140726088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 150140726088 in words is "one hundred fifty billion, one hundred forty million, seven hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 167 184 276 311 334 501 552 622 668 933 1002 1244 1336 1866 2004 2488 3732 3841 4008 5237 7153 7464 7682 10474 11523 14306 15364 15711 20948 21459 23046 28612 30728 31422 41896 42918 46092 51937 57224 62844 85836 92184 103874 120451 125688 155811 171672 207748 240902 311622 361353 415496 481804 623244 722706 874579 963608 1194551 1246488 1445412 1628707 1749158 2389102 2623737 2890824 3257414 3498316 3583653 4778204 4886121 5247474 6514828 6996632 7167306 9556408 9772242 10494948 13029656 14334612 19544484 20115317 20989896 28669224 37460261 39088968 40230634 60345951 74920522 80461268 112380783 120691902 149841044 160922536 224761566 241383804 271994069 299682088 449523132 482767608 543988138 815982207 899046264 1087976276 1631964414 2175952552 3263928828 6255863587 6527857656 12511727174 18767590761 25023454348 37535181522 50046908696 75070363044 150140726088