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4013155344 = 2431131245183
BaseRepresentation
bin1110111100110011…
…1110010000010000
3101100200110102012010
43233030332100100
531204331432334
61502115502520
7201310154232
oct35714762020
911320412163
104013155344
11177a35a010
1293bbb7a40
134bc579543
142a0dba252
151874c30e9
hexef33e410

4013155344 has 80 divisors (see below), whose sum is σ = 11674681344. Its totient is φ = 1176873600.

The previous prime is 4013155339. The next prime is 4013155361. The reversal of 4013155344 is 4435513104.

4013155344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40131553442 = 32210831630151516672, which contains 22 as substring.

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, 106224 + ... + 138959.

Almost surely, 24013155344 is an apocalyptic number.

4013155344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4013155344 is an abundant number, since it is smaller than the sum of its proper divisors (7661526000).

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

4013155344 is a wasteful number, since it uses less digits than its factorization.

4013155344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245236 (or 245230 counting only the distinct ones).

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

The square root of 4013155344 is about 63349.4699583193. The cubic root of 4013155344 is about 1589.1393815737.

Adding to 4013155344 its reverse (4435513104), we get a palindrome (8448668448).

The spelling of 4013155344 in words is "four billion, thirteen million, one hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 245183 490366 735549 980732 1471098 1961464 2697013 2942196 3922928 5394026 5884392 7600673 8091039 10788052 11768784 15201346 16182078 21576104 22802019 30402692 32364156 43152208 45604038 60805384 64728312 83607403 91208076 121610768 129456624 167214806 182416152 250822209 334429612 364832304 501644418 668859224 1003288836 1337718448 2006577672 4013155344