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1407140514 = 23213431091283
BaseRepresentation
bin101001111011111…
…0100001010100010
310122001210010220100
41103313310022202
510340211444024
6351343523230
746604332323
oct12367641242
93561703810
101407140514
1166232654a
123332b9516
131956ab930
14d4c5044a
15838057c9
hex53df42a2

1407140514 has 96 divisors (see below), whose sum is σ = 3393149760. Its totient is φ = 418690944.

The previous prime is 1407140509. The next prime is 1407140519. The reversal of 1407140514 is 4150417041.

1407140514 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 140 + 514 = 666.

1407140514 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1407140509) and next prime (1407140519).

It is a super-2 number, since 2×14071405142 = 3960088852280368392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1407140519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096117 + ... + 1097399.

It is an arithmetic number, because the mean of its divisors is an integer number (35345310).

Almost surely, 21407140514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407140514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696574880).

1407140514 is an abundant number, since it is smaller than the sum of its proper divisors (1986009246).

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

1407140514 is a wasteful number, since it uses less digits than its factorization.

1407140514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1407140514 is about 37511.8716408552. The cubic root of 1407140514 is about 1120.5876258438.

Adding to 1407140514 its reverse (4150417041), we get a palindrome (5557557555).

The spelling of 1407140514 in words is "one billion, four hundred seven million, one hundred forty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 109 117 129 218 234 258 327 387 559 654 774 981 1118 1283 1417 1677 1962 2566 2834 3354 3849 4251 4687 5031 7698 8502 9374 10062 11547 12753 14061 16679 23094 25506 28122 33358 42183 50037 55169 60931 84366 100074 110338 121862 139847 150111 165507 182793 279694 300222 331014 365586 419541 496521 548379 717197 839082 993042 1096758 1258623 1434394 1818011 2151591 2517246 3636022 4303182 5454033 6013421 6454773 10908066 12026842 12909546 16362099 18040263 32724198 36080526 54120789 78174473 108241578 156348946 234523419 469046838 703570257 1407140514