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140012000013420 = 223252574473021377
BaseRepresentation
bin11111110101011100010101…
…100001100110110001101100
3200100202000110000101101100200
4133311130111201212301230
5121322424034000412140
61213440342544553500
741330350611516663
oct3765342541466154
9610660400341320
10140012000013420
11406808349a1a07
121385331b622890
1360180c887b362
14268088cd0ddda
15112c077c61030
hex7f5715866c6c

140012000013420 has 72 divisors (see below), whose sum is σ = 424704856945824. Its totient is φ = 37336375953408.

The previous prime is 140012000013409. The next prime is 140012000013433. The reversal of 140012000013420 is 24310000210041.

140012000013420 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 200 + 0 + 0 + 1 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140012000013393 and 140012000013402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44829772 + ... + 47851148.

It is an arithmetic number, because the mean of its divisors is an integer number (5898678568692).

Almost surely, 2140012000013420 is an apocalyptic number.

140012000013420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012000013420 is an abundant number, since it is smaller than the sum of its proper divisors (284692856932404).

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

140012000013420 is a wasteful number, since it uses less digits than its factorization.

140012000013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278839 (or 3278834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 140012000013420 its reverse (24310000210041), we get a palindrome (164322000223461).

The spelling of 140012000013420 in words is "one hundred forty trillion, twelve billion, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257447 514894 772341 1029788 1287235 1544682 2317023 2574470 3021377 3089364 3861705 4634046 5148940 6042754 7723410 9064131 9268092 11585115 12085508 15106885 15446820 18128262 23170230 27192393 30213770 36256524 45320655 46340460 54384786 60427540 90641310 108769572 135961965 181282620 271923930 543847860 777844444519 1555688889038 2333533333557 3111377778076 3889222222595 4667066667114 7000600000671 7778444445190 9334133334228 11667666667785 14001200001342 15556888890380 23335333335570 28002400002684 35003000003355 46670666671140 70006000006710 140012000013420