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1120144284352 = 261731281118189
BaseRepresentation
bin10000010011001101110…
…011010101101011000000
310222002021210002102220101
4100103031303111223000
5121323023414044402
62214330455252144
7143633135214352
oct20231563255300
93862253072811
101120144284352
113a2061278a85
1216111207a054
1381824330362
143c3029cb0d2
151e20e21cb87
hex104cdcd5ac0

1120144284352 has 112 divisors (see below), whose sum is σ = 2438125436160. Its totient is φ = 508302950400.

The previous prime is 1120144284349. The next prime is 1120144284373. The reversal of 1120144284352 is 2534824410211.

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, 9418474 + ... + 9536662.

Almost surely, 21120144284352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120144284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219062718080).

1120144284352 is an abundant number, since it is smaller than the sum of its proper divisors (1317981151808).

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

1120144284352 is a wasteful number, since it uses less digits than its factorization.

1120144284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118530 (or 118520 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

Adding to 1120144284352 its reverse (2534824410211), we get a palindrome (3654968694563).

The spelling of 1120144284352 in words is "one trillion, one hundred twenty billion, one hundred forty-four million, two hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 281 496 527 544 562 992 1054 1088 1124 1984 2108 2248 4216 4496 4777 8432 8711 8992 9554 16864 17422 17984 19108 33728 34844 38216 69688 76432 118189 139376 148087 152864 236378 278752 296174 305728 472756 557504 592348 945512 1184696 1891024 2009213 2369392 3663859 3782048 4018426 4738784 7327718 7564096 8036852 9477568 14655436 16073704 29310872 32147408 33211109 58621744 62285603 64294816 66422218 117243488 124571206 128589632 132844436 234486976 249142412 265688872 498284824 531377744 564588853 996569648 1029544379 1062755488 1129177706 1993139296 2059088758 2125510976 2258355412 3986278592 4118177516 4516710824 8236355032 9033421648 16472710064 17502254443 18066843296 32945420128 35004508886 36133686592 65890840256 70009017772 140018035544 280036071088 560072142176 1120144284352