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139681677312 = 21434105253
BaseRepresentation
bin1000001000010110101…
…1010100000000000000
3111100112122201102010000
42002011223110000000
54242032002133222
6144100251040000
713043304444552
oct2020553240000
9440478642100
10139681677312
1154269735641
12230a3140000
131023094a388
146a912494d2
153977ce39ac
hex2085ad4000

139681677312 has 150 divisors (see below), whose sum is σ = 417311795978. Its totient is φ = 46560116736.

The previous prime is 139681677287. The next prime is 139681677323. The reversal of 139681677312 is 213776186931.

It can be written as a sum of positive squares in only one way, i.e., 87653892096 + 52027785216 = 296064^2 + 228096^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1274478 + ... + 1379730.

Almost surely, 2139681677312 is an apocalyptic number.

139681677312 is a gapful number since it is divisible by the number (12) 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 139681677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208655897989).

139681677312 is an abundant number, since it is smaller than the sum of its proper divisors (277630118666).

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

139681677312 is an frugal number, since it uses more digits than its factorization.

139681677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105293 (or 105258 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 139681677312 in words is "one hundred thirty-nine billion, six hundred eighty-one million, six hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 36864 41472 49152 55296 73728 82944 105253 110592 147456 165888 210506 221184 315759 331776 421012 442368 631518 663552 842024 947277 1263036 1327104 1684048 1894554 2526072 2841831 3368096 3789108 5052144 5683662 6736192 7578216 8525493 10104288 11367324 13472384 15156432 17050986 20208576 22734648 26944768 30312864 34101972 40417152 45469296 53889536 60625728 68203944 80834304 90938592 107779072 121251456 136407888 161668608 181877184 215558144 242502912 272815776 323337216 363754368 431116288 485005824 545631552 646674432 727508736 862232576 970011648 1091263104 1293348864 1455017472 1724465152 1940023296 2182526208 2586697728 2910034944 3880046592 4365052416 5173395456 5820069888 7760093184 8730104832 11640139776 15520186368 17460209664 23280279552 34920419328 46560559104 69840838656 139681677312