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1339530426400 = 25528357734963
BaseRepresentation
bin10011011111100010001…
…111000011100000100000
311202001120011211011211211
4103133202033003200200
5133421324242121100
62503212145515504
7165530545521055
oct23374217034040
94661504734754
101339530426400
11477101005681
1219773a042b94
1399417ab89aa
1448b9564102c
1524c9e5a41ba
hex137e23c3820

1339530426400 has 144 divisors (see below), whose sum is σ = 3315358365984. Its totient is φ = 528424058880.

The previous prime is 1339530426397. The next prime is 1339530426401. The reversal of 1339530426400 is 46240359331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1339530426401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38295319 + ... + 38330281.

It is an arithmetic number, because the mean of its divisors is an integer number (23023321986).

Almost surely, 21339530426400 is an apocalyptic number.

1339530426400 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 1339530426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657679182992).

1339530426400 is an abundant number, since it is smaller than the sum of its proper divisors (1975827939584).

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

1339530426400 is a wasteful number, since it uses less digits than its factorization.

1339530426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35643 (or 35630 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 1339530426400 in words is "one trillion, three hundred thirty-nine billion, five hundred thirty million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 577 664 800 830 1154 1328 1660 2075 2308 2656 2885 3320 4150 4616 5770 6640 8300 9232 11540 13280 14425 16600 18464 23080 28850 33200 34963 46160 47891 57700 66400 69926 92320 95782 115400 139852 174815 191564 230800 239455 279704 349630 383128 461600 478910 559408 699260 766256 874075 957820 1118816 1197275 1398520 1532512 1748150 1915640 2394550 2797040 2901929 3496300 3831280 4789100 5594080 5803858 6992600 7662560 9578200 11607716 13985200 14509645 19156400 20173651 23215432 27970400 29019290 38312800 40347302 46430864 58038580 72548225 80694604 92861728 100868255 116077160 145096450 161389208 201736510 232154320 290192900 322778416 403473020 464308640 504341275 580385800 645556832 806946040 1008682550 1160771600 1613892080 1674413033 2017365100 2321543200 3227784160 3348826066 4034730200 6697652132 8069460400 8372065165 13395304264 16138920800 16744130330 26790608528 33488260660 41860325825 53581217056 66976521320 83720651650 133953042640 167441303300 267906085280 334882606600 669765213200 1339530426400