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1042402433200 = 245228123114013
BaseRepresentation
bin11110010101101000000…
…01101101100010110000
310200122121211002012202221
433022310001231202300
5114034320010330300
62114512325450424
7135211463326162
oct17126401554260
93618554065687
101042402433200
11372097aa8617
1214a036570a14
13773b4ca93bb
1438649b08932
151c1ae10531a
hexf2b406d8b0

1042402433200 has 120 divisors (see below), whose sum is σ = 2514998288736. Its totient is φ = 415193856000.

The previous prime is 1042402433167. The next prime is 1042402433227. The reversal of 1042402433200 is 23342042401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259754394 + ... + 259758406.

Almost surely, 21042402433200 is an apocalyptic number.

1042402433200 is a gapful number since it is divisible by the number (10) 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 1042402433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257499144368).

1042402433200 is an abundant number, since it is smaller than the sum of its proper divisors (1472595855536).

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

1042402433200 is a wasteful number, since it uses less digits than its factorization.

1042402433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1042402433200 its reverse (23342042401), we get a palindrome (1065744475601).

The spelling of 1042402433200 in words is "one trillion, forty-two billion, four hundred two million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 281 400 562 1124 1405 2248 2311 2810 4013 4496 4622 5620 7025 8026 9244 11240 11555 14050 16052 18488 20065 22480 23110 28100 32104 36976 40130 46220 56200 57775 64208 80260 92440 100325 112400 115550 160520 184880 200650 231100 321040 401300 462200 649391 802600 924400 1127653 1298782 1605200 2255306 2597564 3246955 4510612 5195128 5638265 6493910 9021224 9274043 10390256 11276530 12987820 16234775 18042448 18548086 22553060 25975640 28191325 32469550 37096172 45106120 46370215 51951280 56382650 64939100 74192344 90212240 92740430 112765300 129878200 148384688 185480860 225530600 231851075 259756400 370961720 451061200 463702150 741923440 927404300 1854808600 2606006083 3709617200 5212012166 10424024332 13030030415 20848048664 26060060830 41696097328 52120121660 65150152075 104240243320 130300304150 208480486640 260600608300 521201216600 1042402433200