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1034400241204 = 2211217125717093
BaseRepresentation
bin11110000110101110000…
…11110001011000110100
310122212222010112202000121
433003113003301120310
5113421422430204304
62111110311021324
7134506254656311
oct17032703613064
93585863482017
101034400241204
11369760a73300
1214858266a844
137670b179655
14380cb02dd08
151bd91825554
hexf0d70f1634

1034400241204 has 36 divisors (see below), whose sum is σ = 2106767061252. Its totient is φ = 442524163840.

The previous prime is 1034400241177. The next prime is 1034400241207. The reversal of 1034400241204 is 4021420044301.

1034400241204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 401198093604 + 633202147600 = 633402^2 + 795740^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034400241207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62850319 + ... + 62866774.

It is an arithmetic number, because the mean of its divisors is an integer number (58521307257).

Almost surely, 21034400241204 is an apocalyptic number.

It is an amenable number.

1034400241204 is an abundant number, since it is smaller than the sum of its proper divisors (1072366820048).

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

1034400241204 is a wasteful number, since it uses less digits than its factorization.

1034400241204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125717136 (or 125717123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1034400241204 its reverse (4021420044301), we get a palindrome (5055820285505).

The spelling of 1034400241204 in words is "one trillion, thirty-four billion, four hundred million, two hundred forty-one thousand, two hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 125717093 251434186 502868372 1382888023 2137190581 2765776046 4274381162 5531552092 8548762324 15211768253 23509096391 30423536506 47018192782 60847073012 94036385564 258600060301 517200120602 1034400241204