Search a number
-
+
148020112344 = 233131765342737
BaseRepresentation
bin1000100111011010101…
…1111010101111011000
3112011001202221210121010
42021312223322233120
54411121122043334
6151555520413520
713460035124016
oct2116653725730
9464052853533
10148020112344
1157858549265
122482b7772a0
1310c5c3276c0
14724284d8b6
153cb4d910e9
hex2276afabd8

148020112344 has 128 divisors (see below), whose sum is σ = 422613858240. Its totient is φ = 42798907392.

The previous prime is 148020112249. The next prime is 148020112379. The reversal of 148020112344 is 443211020841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3442144 + ... + 3484880.

Almost surely, 2148020112344 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 148020112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211306929120).

148020112344 is an abundant number, since it is smaller than the sum of its proper divisors (274593745896).

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

148020112344 is a wasteful number, since it uses less digits than its factorization.

148020112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43429 (or 43425 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 148020112344 in words is "one hundred forty-eight billion, twenty million, one hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 653 663 884 1306 1326 1768 1959 2612 2652 3918 5224 5304 7836 8489 11101 15672 16978 22202 25467 33303 33956 42737 44404 50934 66606 67912 85474 88808 101868 128211 133212 144313 170948 203736 256422 266424 288626 341896 432939 512844 555581 577252 726529 865878 1025688 1111162 1154504 1453058 1666743 1731756 2179587 2222324 2906116 3333486 3463512 4359174 4444648 5812232 6666972 8718348 9444877 13333944 17436696 18889754 27907261 28334631 37779508 55814522 56669262 75559016 83721783 111629044 113338524 167443566 223258088 226677048 334887132 362794393 474423437 669774264 725588786 948846874 1088383179 1423270311 1451177572 1897693748 2176766358 2846540622 2902355144 3795387496 4353532716 5693081244 6167504681 8707065432 11386162488 12335009362 18502514043 24670018724 37005028086 49340037448 74010056172 148020112344