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1001324202144 = 25371753850009
BaseRepresentation
bin11101001001000111001…
…00101100100010100000
310112201121000010212022220
432210203210230202200
5112401202443432034
62044000232431040
7132225514166460
oct16444344544240
93481530125286
101001324202144
11356728453632
12142091548480
13735697287c6
1436670267ba0
151b0a7b37749
hexe92392c8a0

1001324202144 has 96 divisors (see below), whose sum is σ = 3005689760640. Its totient is φ = 285929091072.

The previous prime is 1001324202139. The next prime is 1001324202163. The reversal of 1001324202144 is 4412024231001.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753012 + ... + 1603020.

It is an arithmetic number, because the mean of its divisors is an integer number (31309268340).

Almost surely, 21001324202144 is an apocalyptic number.

1001324202144 is a gapful number since it is divisible by the number (14) 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 1001324202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502844880320).

1001324202144 is an abundant number, since it is smaller than the sum of its proper divisors (2004365558496).

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

1001324202144 is a wasteful number, since it uses less digits than its factorization.

1001324202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851782 (or 851774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1001324202144 its reverse (4412024231001), we get a palindrome (5413348433145).

The spelling of 1001324202144 in words is "one trillion, one billion, three hundred twenty-four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1753 3506 5259 7012 10518 12271 14024 21036 24542 28048 36813 42072 49084 56096 73626 84144 98168 147252 168288 196336 294504 392672 589008 850009 1178016 1700018 2550027 3400036 5100054 5950063 6800072 10200108 11900126 13600144 17850189 20400216 23800252 27200288 35700378 40800432 47600504 71400756 81600864 95201008 142801512 190402016 285603024 571206048 1490065777 2980131554 4470197331 5960263108 8940394662 10430460439 11920526216 17880789324 20860920878 23841052432 31291381317 35761578648 41721841756 47682104864 62582762634 71523157296 83443683512 125165525268 143046314592 166887367024 250331050536 333774734048 500662101072 1001324202144