Search a number
-
+
149430128548036 = 227531659108803
BaseRepresentation
bin100001111110011111101001…
…101110110001100011000100
3201121002101021120210120001211
4201332133221232301203010
5124041230400402014121
61245451130421101204
743321653613300000
oct4176375156614304
9647071246716054
10149430128548036
1143681a63a25846
1214914687857804
13654c27bb0142b
1428c86576c3700
15124204962dce1
hex87e7e9bb18c4

149430128548036 has 144 divisors (see below), whose sum is σ = 315406118522880. Its totient is φ = 61881015641760.

The previous prime is 149430128548027. The next prime is 149430128548039. The reversal of 149430128548036 is 630845821034941.

It is not an unprimeable number, because it can be changed into a prime (149430128548039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373346411 + ... + 1373455213.

It is an arithmetic number, because the mean of its divisors is an integer number (2190320267520).

Almost surely, 2149430128548036 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 149430128548036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157703059261440).

149430128548036 is an abundant number, since it is smaller than the sum of its proper divisors (165975989974844).

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

149430128548036 is an equidigital number, since it uses as much as digits as its factorization.

149430128548036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109532 (or 109502 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 149430128548036 in words is "one hundred forty-nine trillion, four hundred thirty billion, one hundred twenty-eight million, five hundred forty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 659 686 868 1318 1372 1519 2401 2636 3038 4613 4802 6076 9226 9604 10633 16807 18452 20429 21266 32291 33614 40858 42532 64582 67228 74431 81716 108803 129164 143003 148862 217606 226037 286006 297724 435212 452074 521017 572012 761621 904148 1001021 1042034 1523242 1582259 2002042 2084068 3046484 3164518 3372893 4004084 5331347 6329036 6745786 7007147 10662694 11075813 13491572 14014294 21325388 22151626 23610251 28028588 37319429 44303252 47220502 49050029 71701177 74638858 94441004 98100058 143402354 149277716 165271757 196200116 261236003 286804708 330543514 343350203 501908239 522472006 661087028 686700406 1003816478 1044944012 1156902299 1373400812 1828652021 2007632956 2222736487 2313804598 3513357673 3657304042 4445472974 4627609196 7026715346 7314608084 8098316093 8890945948 14053430692 15559155409 16196632186 24593503711 31118310818 32393264372 49187007422 56688212651 62236621636 98374014844 108914087863 113376425302 172154525977 217828175726 226752850604 344309051954 435656351452 688618103908 762398615041 1205081681839 1524797230082 2410163363678 3049594460164 4820326727356 5336790305287 10673580610574 21347161221148 37357532137009 74715064274018 149430128548036