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2240213011104 = 25339511590609
BaseRepresentation
bin100000100110010111000…
…110011100101010100000
321221011101022000011021010
4200212113012130222200
5243200424012323404
64433050055300520
7320564365260345
oct40462706345240
97834338004233
102240213011104
1179408392a462
1230220297a740
13133335ac7373
147a5d954a7cc
153d4169b3189
hex2099719caa0

2240213011104 has 48 divisors (see below), whose sum is σ = 5880717944640. Its totient is φ = 746717506560.

The previous prime is 2240213011103. The next prime is 2240213011111. The reversal of 2240213011104 is 4011103120422.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2240213011103) by changing a digit.

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, 3497752 + ... + 4088360.

It is an arithmetic number, because the mean of its divisors is an integer number (122514957180).

Almost surely, 22240213011104 is an apocalyptic number.

2240213011104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240213011104 is an abundant number, since it is smaller than the sum of its proper divisors (3640504933536).

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

2240213011104 is a wasteful number, since it uses less digits than its factorization.

2240213011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630133 (or 630125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2240213011104 its reverse (4011103120422), we get a palindrome (6251316131526).

The spelling of 2240213011104 in words is "two trillion, two hundred forty billion, two hundred thirteen million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 39511 79022 118533 158044 237066 316088 474132 590609 632176 948264 1181218 1264352 1771827 1896528 2362436 3543654 3793056 4724872 7087308 9449744 14174616 18899488 28349232 56698464 23335552199 46671104398 70006656597 93342208796 140013313194 186684417592 280026626388 373368835184 560053252776 746737670368 1120106505552 2240213011104