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140205030432 = 25319591302827
BaseRepresentation
bin1000001010010011011…
…1101111110000100000
3111101220010111111121220
42002210313233300200
54244114441433212
6144224224215040
713062261044445
oct2024467576040
9441803444556
10140205030432
11545080a2585
122320a46a480
13102b51bab8c
146b0095d9cc
1539a8c2138c
hex20a4defc20

140205030432 has 96 divisors (see below), whose sum is σ = 393975187200. Its totient is φ = 43524811008.

The previous prime is 140205030379. The next prime is 140205030457. The reversal of 140205030432 is 234030502041.

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

It is a super-2 number, since 2×1402050304322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 543798 + ... + 759029.

It is an arithmetic number, because the mean of its divisors is an integer number (4103908200).

Almost surely, 2140205030432 is an apocalyptic number.

140205030432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140205030432 is an abundant number, since it is smaller than the sum of its proper divisors (253770156768).

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

140205030432 is a wasteful number, since it uses less digits than its factorization.

140205030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302918 (or 1302910 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 140205030432 its reverse (234030502041), we get a palindrome (374235532473).

The spelling of 140205030432 in words is "one hundred forty billion, two hundred five million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 76 96 114 118 152 177 228 236 304 354 456 472 608 708 912 944 1121 1416 1824 1888 2242 2832 3363 4484 5664 6726 8968 13452 17936 26904 35872 53808 107616 1302827 2605654 3908481 5211308 7816962 10422616 15633924 20845232 24753713 31267848 41690464 49507426 62535696 74261139 76866793 99014852 125071392 148522278 153733586 198029704 230600379 297044556 307467172 396059408 461200758 594089112 614934344 792118816 922401516 1188178224 1229868688 1460469067 1844803032 2376356448 2459737376 2920938134 3689606064 4381407201 5841876268 7379212128 8762814402 11683752536 17525628804 23367505072 35051257608 46735010144 70102515216 140205030432