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139402047616 = 27131723214259
BaseRepresentation
bin1000000111010100000…
…0100111000010000000
3111022211011112202021121
42001311000213002000
54240443411010431
6144012421402024
713033340565616
oct2016500470200
9438734482247
10139402047616
1154135904717
1223025569314
13101b7a32410
146a660596b6
15395d4aa611
hex2075027080

139402047616 has 128 divisors (see below), whose sum is σ = 330440342400. Its totient is φ = 57921650688.

The previous prime is 139402047583. The next prime is 139402047619. The reversal of 139402047616 is 616740204931.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (139402047619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543495 + ... + 757753.

It is an arithmetic number, because the mean of its divisors is an integer number (2581565175).

Almost surely, 2139402047616 is an apocalyptic number.

139402047616 is a gapful number since it is divisible by the number (16) 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 139402047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165220171200).

139402047616 is an abundant number, since it is smaller than the sum of its proper divisors (191038294784).

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

139402047616 is a wasteful number, since it uses less digits than its factorization.

139402047616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214326 (or 214314 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 139402047616 in words is "one hundred thirty-nine billion, four hundred two million, forty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 128 136 184 208 221 272 299 368 391 416 442 544 598 736 782 832 884 1088 1196 1472 1564 1664 1768 2176 2392 2944 3128 3536 4784 5083 6256 7072 9568 10166 12512 14144 19136 20332 25024 28288 38272 40664 50048 81328 162656 214259 325312 428518 650624 857036 1714072 2785367 3428144 3642403 4927957 5570734 6856288 7284806 9855914 11141468 13712576 14569612 19711828 22282936 27425152 29139224 39423656 44565872 47351239 58278448 64063441 78847312 83775269 89131744 94702478 116556896 128126882 157694624 167550538 178263488 189404956 233113792 256253764 315389248 335101076 356526976 378809912 466227584 512507528 630778496 670202152 757619824 1025015056 1089078497 1340404304 1515239648 2050030112 2178156994 2680808608 3030479296 4100060224 4356313988 5361617216 6060958592 8200120448 8712627976 10723234432 17425255952 34850511904 69701023808 139402047616