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15428561040 = 2432549942943
BaseRepresentation
bin11100101111001110…
…10010100010010000
31110211020120002220200
432113213102202100
5223044202423130
611030543335200
71054222414344
oct162747224220
943736502820
1015428561040
1165a80252a2
122ba6bb1500
1315bb57a679
14a65101624
1560476a760
hex3979d2890

15428561040 has 120 divisors (see below), whose sum is σ = 51919296000. Its totient is φ = 4105942272.

The previous prime is 15428561033. The next prime is 15428561119. The reversal of 15428561040 is 4016582451.

It is a happy number.

15428561040 is a `hidden beast` number, since 1 + 54 + 2 + 8 + 561 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15428560986 and 15428561004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337809 + ... + 380751.

It is an arithmetic number, because the mean of its divisors is an integer number (432660800).

Almost surely, 215428561040 is an apocalyptic number.

15428561040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15428561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25959648000).

15428561040 is an abundant number, since it is smaller than the sum of its proper divisors (36490734960).

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

15428561040 is a wasteful number, since it uses less digits than its factorization.

15428561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43461 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 15428561040 in words is "fifteen billion, four hundred twenty-eight million, five hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 499 720 998 1497 1996 2495 2994 3992 4491 4990 5988 7485 7984 8982 9980 11976 14970 17964 19960 22455 23952 29940 35928 39920 42943 44910 59880 71856 85886 89820 119760 128829 171772 179640 214715 257658 343544 359280 386487 429430 515316 644145 687088 772974 858860 1030632 1288290 1545948 1717720 1932435 2061264 2576580 3091896 3435440 3864870 5153160 6183792 7729740 10306320 15459480 21428557 30918960 42857114 64285671 85714228 107142785 128571342 171428456 192857013 214285570 257142684 321428355 342856912 385714026 428571140 514285368 642856710 771428052 857142280 964285065 1028570736 1285713420 1542856104 1714284560 1928570130 2571426840 3085712208 3857140260 5142853680 7714280520 15428561040