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1143400311252 = 223331134041929
BaseRepresentation
bin10000101000110111111…
…110000010100111010100
311001022022112102000101000
4100220313332002213110
5122213140434430002
62233134300503300
7145415345200143
oct20506776024724
94038275360330
101143400311252
11400a05738221
1216572254ab30
1383a8c462214
143d4ab4c375a
151eb20c5261c
hex10a37f829d4

1143400311252 has 48 divisors (see below), whose sum is σ = 2973903004800. Its totient is φ = 379907916480.

The previous prime is 1143400311211. The next prime is 1143400311257. The reversal of 1143400311252 is 2521130043411.

1143400311252 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 400 + 3 + 1 + 1 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143400311257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16987377 + ... + 17054552.

It is an arithmetic number, because the mean of its divisors is an integer number (61956312600).

Almost surely, 21143400311252 is an apocalyptic number.

1143400311252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1143400311252 is an abundant number, since it is smaller than the sum of its proper divisors (1830502693548).

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

1143400311252 is a wasteful number, since it uses less digits than its factorization.

1143400311252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34042253 (or 34042245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1143400311252 its reverse (2521130043411), we get a palindrome (3664530354663).

The spelling of 1143400311252 in words is "one trillion, one hundred forty-three billion, four hundred million, three hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 311 622 933 1244 1866 2799 3732 5598 8397 11196 16794 33588 34041929 68083858 102125787 136167716 204251574 306377361 408503148 612754722 919132083 1225509444 1838264166 3676528332 10587039919 21174079838 31761119757 42348159676 63522239514 95283359271 127044479028 190566718542 285850077813 381133437084 571700155626 1143400311252