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10140420333344 = 257103439511977
BaseRepresentation
bin1001001110010000000000…
…1001101101111100100000
31022220102012022212021112012
42103210000021231330200
52312120040101131334
633322240024052052
72064423032443250
oct223440011557440
938812168767465
1010140420333344
11325a589a10894
121179346304028
13587311b2ab72
14270b284d5960
15128b979e29ce
hex9390026df20

10140420333344 has 48 divisors (see below), whose sum is σ = 23037459838848. Its totient is φ = 4303701268992.

The previous prime is 10140420333313. The next prime is 10140420333361. The reversal of 10140420333344 is 44333302404101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10140420333344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219732917 + ... + 219779060.

It is an arithmetic number, because the mean of its divisors is an integer number (479947079976).

Almost surely, 210140420333344 is an apocalyptic number.

10140420333344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140420333344 is an abundant number, since it is smaller than the sum of its proper divisors (12897039505504).

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

10140420333344 is a wasteful number, since it uses less digits than its factorization.

10140420333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439512097 (or 439512089 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 10140420333344 its reverse (44333302404101), we get a palindrome (54473722737445).

The spelling of 10140420333344 in words is "ten trillion, one hundred forty billion, four hundred twenty million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 5768 11536 23072 439511977 879023954 1758047908 3076583839 3516095816 6153167678 7032191632 12306335356 14064383264 24612670712 45269733631 49225341424 90539467262 98450682848 181078934524 316888135417 362157869048 633776270834 724315738096 1267552541668 1448631476192 2535105083336 5070210166672 10140420333344