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1045102014 = 234112343593
BaseRepresentation
bin111110010010101…
…111110110111110
32200211112200110000
4332102233312332
54120021231024
6251412055130
734620135435
oct7622576676
92624480400
101045102014
11496a29680
122520044a6
1313869c078
149cb2c11c
1561b3ecc9
hex3e4afdbe

1045102014 has 160 divisors (see below), whose sum is σ = 2732361984. Its totient is φ = 295384320.

The previous prime is 1045102007. The next prime is 1045102021. The reversal of 1045102014 is 4102015401.

1045102014 is a `hidden beast` number, since 10 + 451 + 0 + 201 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1045102007) and next prime (1045102021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1762102 + ... + 1762694.

Almost surely, 21045102014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045102014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366180992).

1045102014 is an abundant number, since it is smaller than the sum of its proper divisors (1687259970).

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

1045102014 is a wasteful number, since it uses less digits than its factorization.

1045102014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1045102014 is about 32328.0375834971. The cubic root of 1045102014 is about 1014.8134818685.

Adding to 1045102014 its reverse (4102015401), we get a palindrome (5147117415).

The spelling of 1045102014 in words is "one billion, forty-five million, one hundred two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 43 46 54 66 69 81 86 99 129 138 162 198 207 253 258 297 387 414 473 506 593 594 621 759 774 891 946 989 1161 1186 1242 1419 1518 1779 1782 1863 1978 2277 2322 2838 2967 3483 3558 3726 4257 4554 5337 5934 6523 6831 6966 8514 8901 10674 10879 12771 13046 13639 13662 16011 17802 19569 20493 21758 25499 25542 26703 27278 32022 32637 38313 39138 40917 40986 48033 50998 53406 58707 65274 76497 76626 80109 81834 96066 97911 117414 122751 150029 152994 160218 176121 195822 229491 245502 280489 293733 300058 352242 368253 450087 458982 528363 560978 586477 587466 688473 736506 841467 881199 900174 1056726 1104759 1172954 1350261 1376946 1682934 1759431 1762398 2065419 2209518 2524401 2700522 3518862 4050783 4130838 5048802 5278293 6451247 7573203 8101566 10556586 12152349 12902494 15146406 15834879 19353741 22719609 24304698 31669758 38707482 45439218 47504637 58061223 95009274 116122446 174183669 348367338 522551007 1045102014