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13400146801496 = 23721319871323373
BaseRepresentation
bin1100001011111111011011…
…1111010111001101011000
31202110001010021022012001202
43002333312333113031120
53224022000040121441
644255535323133332
72552062062321200
oct302776677271530
952401107265052
1013400146801496
1142a6a7458a244
121605056074248
13762822845840
143447db8bd400
1518387ddcc19b
hexc2ff6fd7358

13400146801496 has 96 divisors (see below), whose sum is σ = 31491484118640. Its totient is φ = 5298485052672.

The previous prime is 13400146801493. The next prime is 13400146801513. The reversal of 13400146801496 is 69410864100431.

It is a self number, because there is not a number n which added to its sum of digits gives 13400146801496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400146801493) 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, 9464066 + ... + 10787438.

Almost surely, 213400146801496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13400146801496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745742059320).

13400146801496 is an abundant number, since it is smaller than the sum of its proper divisors (18091337317144).

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

13400146801496 is a wasteful number, since it uses less digits than its factorization.

13400146801496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325393 (or 1325382 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 13400146801496 in words is "thirteen trillion, four hundred billion, one hundred forty-six million, eight hundred one thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 1987 2548 3974 5096 7948 13909 15896 25831 27818 51662 55636 97363 103324 111272 180817 194726 206648 361634 389452 723268 778904 1265719 1323373 1446536 2531438 2646746 5062876 5293492 9263611 10125752 10586984 17203849 18527222 34407698 37054444 64845277 68815396 74108888 120426943 129690554 137630792 240853886 259381108 481707772 518762216 842988601 963415544 1685977202 2629542151 3371954404 5259084302 6743908808 10518168604 18406795057 21036337208 34184047963 36813590114 68368095926 73627180228 128847565399 136736191852 147254360456 239288335741 257695130798 273472383704 478576671482 515390261596 957153342964 1030780523192 1675018350187 1914306685928 3350036700374 6700073400748 13400146801496