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129146146873440 = 25351341120062223
BaseRepresentation
bin11101010111010100101110…
…001101010110000001100000
3121221021020210000201021012020
4131113110232031112001200
5113411412302044422230
61134400530522101440
736126333624655524
oct3527245615260140
9557236700637166
10129146146873440
1138171634093474
121259947b34a880
13570a5774c0168
1423c69c78a5d84
15ede5c34ee810
hex75752e356060

129146146873440 has 96 divisors (see below), whose sum is σ = 406840717011456. Its totient is φ = 34436402818560.

The previous prime is 129146146873439. The next prime is 129146146873451. The reversal of 129146146873440 is 44378641641921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1291461468734402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 3593832 + ... + 16468391.

It is an arithmetic number, because the mean of its divisors is an integer number (4237924135536).

Almost surely, 2129146146873440 is an apocalyptic number.

129146146873440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129146146873440 is an abundant number, since it is smaller than the sum of its proper divisors (277694570138016).

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

129146146873440 is a wasteful number, since it uses less digits than its factorization.

129146146873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075652 (or 20075644 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 129146146873440 in words is "one hundred twenty-nine trillion, one hundred forty-six billion, one hundred forty-six million, eight 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 80 96 120 160 240 480 13411 26822 40233 53644 67055 80466 107288 134110 160932 201165 214576 268220 321864 402330 429152 536440 643728 804660 1072880 1287456 1609320 2145760 3218640 6437280 20062223 40124446 60186669 80248892 100311115 120373338 160497784 200622230 240746676 300933345 320995568 401244460 481493352 601866690 641991136 802488920 962986704 1203733380 1604977840 1925973408 2407466760 3209955680 4814933520 9629867040 269054472653 538108945306 807163417959 1076217890612 1345272363265 1614326835918 2152435781224 2690544726530 3228653671836 4035817089795 4304871562448 5381089453060 6457307343672 8071634179590 8609743124896 10762178906120 12914614687344 16143268359180 21524357812240 25829229374688 32286536718360 43048715624480 64573073436720 129146146873440