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136101373440 = 293582921377
BaseRepresentation
bin111111011000001000…
…1100010011000000000
3111000022010202010111220
41332300101202120000
54212213422422230
6142305112435040
712555501405054
oct1766021423000
9430263663456
10136101373440
11527a174a31a
12224640a8a80
13caacc75286
146831945c64
153818822d10
hex1fb0462600

136101373440 has 160 divisors (see below), whose sum is σ = 435644304480. Its totient is φ = 36248223744.

The previous prime is 136101373433. The next prime is 136101373459. The reversal of 136101373440 is 44373101631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6356032 + ... + 6377408.

It is an arithmetic number, because the mean of its divisors is an integer number (2722776903).

Almost surely, 2136101373440 is an apocalyptic number.

136101373440 is a gapful number since it is divisible by the number (10) 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 136101373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217822152240).

136101373440 is an abundant number, since it is smaller than the sum of its proper divisors (299542931040).

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

136101373440 is an equidigital number, since it uses as much as digits as its factorization.

136101373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22232 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 136101373440 in words is "one hundred thirty-six billion, one hundred one million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 829 960 1280 1536 1658 1920 2487 2560 3316 3840 4145 4974 6632 7680 8290 9948 12435 13264 16580 19896 21377 24870 26528 33160 39792 42754 49740 53056 64131 66320 79584 85508 99480 106112 106885 128262 132640 159168 171016 198960 212224 213770 256524 265280 318336 320655 342032 397920 424448 427540 513048 530560 636672 641310 684064 795840 855080 1026096 1061120 1273344 1282620 1368128 1591680 1710160 2052192 2122240 2565240 2736256 3183360 3420320 4104384 5130480 5472512 6366720 6840640 8208768 10260960 10945024 13681280 16417536 17721533 20521920 27362560 32835072 35443066 41043840 53164599 54725120 70886132 82087680 88607665 106329198 141772264 164175360 177215330 212658396 265822995 283544528 354430660 425316792 531645990 567089056 708861320 850633584 1063291980 1134178112 1417722640 1701267168 2126583960 2268356224 2835445280 3402534336 4253167920 4536712448 5670890560 6805068672 8506335840 9073424896 11341781120 13610137344 17012671680 22683562240 27220274688 34025343360 45367124480 68050686720 136101373440