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3413552142 = 23711133715361
BaseRepresentation
bin1100101101110110…
…1010110000001110
322210220012102020010
43023131222300032
523442332132032
61322420134050
7150406500030
oct31335526016
98726172203
103413552142
1114a1952280
127b3237326
1342528c450
142454d7c50
1514ea32ccc
hexcb76ac0e

3413552142 has 128 divisors (see below), whose sum is σ = 9414816768. Its totient is φ = 796262400.

The previous prime is 3413552137. The next prime is 3413552147. The reversal of 3413552142 is 2412553143.

It is an interprime number because it is at equal distance from previous prime (3413552137) and next prime (3413552147).

It is a super-3 number, since 3×34135521423 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413552147) 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 63 ways as a sum of consecutive naturals, for example, 214542 + ... + 229902.

It is an arithmetic number, because the mean of its divisors is an integer number (73553256).

Almost surely, 23413552142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413552142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707408384).

3413552142 is an abundant number, since it is smaller than the sum of its proper divisors (6001264626).

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

3413552142 is a wasteful number, since it uses less digits than its factorization.

3413552142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434.

The product of its digits is 14400, while the sum is 30.

The square root of 3413552142 is about 58425.6120378726. The cubic root of 3413552142 is about 1505.6898184658.

It can be divided in two parts, 3413 and 552142, that added together give a palindrome (555555).

The spelling of 3413552142 in words is "three billion, four hundred thirteen million, five hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15361 15873 17094 20202 30722 31746 37037 46083 74074 92166 107527 111111 168971 199693 215054 222222 322581 337942 399386 506913 568357 599079 645162 1013826 1136714 1182797 1198158 1397851 1705071 2196623 2365594 2795702 3410142 3548391 3978499 4193553 4393246 6251927 6589869 7096782 7388641 7956998 8387106 11935497 12503854 13179738 14777282 15376361 18755781 22165923 23870994 30752722 37511562 43763489 44331846 46129083 51720487 81275051 87526978 92258166 103440974 131290467 155161461 162550102 243825153 262580934 310322922 487650306 568925357 1137850714 1706776071 3413552142