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139214629104 = 24371832232207
BaseRepresentation
bin1000000110100111010…
…1101010100011110000
3111022100002212220102020
42001221311222203300
54240102421112404
6143542044351440
713025603552145
oct2015165524360
9438302786366
10139214629104
115404a035391
1222b92845580
1310187c619a5
146a491d03cc
15394bcd8ed9
hex2069d6a8f0

139214629104 has 160 divisors (see below), whose sum is σ = 370920259584. Its totient is φ = 44976986880.

The previous prime is 139214629087. The next prime is 139214629109. The reversal of 139214629104 is 401926412931.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139214629109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63077569 + ... + 63079775.

Almost surely, 2139214629104 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 139214629104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185460129792).

139214629104 is an abundant number, since it is smaller than the sum of its proper divisors (231705630480).

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

139214629104 is a wasteful number, since it uses less digits than its factorization.

139214629104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 139214629104 in words is "one hundred thirty-nine billion, two hundred fourteen million, six hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 83 142 166 213 223 249 284 332 426 446 498 568 664 669 852 892 996 1136 1328 1338 1704 1784 1992 2207 2676 3408 3568 3984 4414 5352 5893 6621 8828 10704 11786 13242 15833 17656 17679 18509 23572 26484 31666 35312 35358 37018 47144 47499 52968 55527 63332 70716 74036 94288 94998 105936 111054 126664 141432 148072 156697 183181 189996 222108 253328 282864 296144 313394 366362 379992 444216 470091 492161 549543 626788 732724 759984 888432 940182 984322 1099086 1253576 1314139 1465448 1476483 1880364 1968644 2198172 2507152 2628278 2930896 2952966 3760728 3937288 3942417 4396344 5256556 5905932 7521456 7874576 7884834 8792688 10513112 11811864 13005851 15769668 21026224 23623728 26011702 31539336 34943431 39017553 40849363 52023404 63078672 69886862 78035106 81698726 104046808 104830293 122548089 139773724 156070212 163397452 208093616 209660586 245096178 279547448 312140424 326794904 419321172 490192356 559094896 624280848 653589808 838642344 980384712 1677284688 1960769424 2900304773 5800609546 8700914319 11601219092 17401828638 23202438184 34803657276 46404876368 69607314552 139214629104