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11404523000 = 2353135914869
BaseRepresentation
bin10101001111100001…
…10011010111111000
31002102210121210110202
422213300303113320
5141324024214000
65123354301332
7552420563123
oct124760632770
932383553422
1011404523000
114922612a22
122263427848
1310c9990880
147a28d13ba
1546b347dd5
hex2a7c335f8

11404523000 has 128 divisors (see below), whose sum is σ = 29228472000. Its totient is φ = 4139251200.

The previous prime is 11404522993. The next prime is 11404523017. The reversal of 11404523000 is 32540411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759566 + ... + 774434.

Almost surely, 211404523000 is an apocalyptic number.

11404523000 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 11404523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614236000).

11404523000 is an abundant number, since it is smaller than the sum of its proper divisors (17823949000).

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

11404523000 is a wasteful number, since it uses less digits than its factorization.

11404523000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 11404523000 in words is "eleven billion, four hundred four million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 125 130 200 236 250 260 295 325 472 500 520 590 650 767 1000 1180 1300 1475 1534 1625 2360 2600 2950 3068 3250 3835 5900 6136 6500 7375 7670 11800 13000 14750 14869 15340 19175 29500 29738 30680 38350 59000 59476 74345 76700 95875 118952 148690 153400 191750 193297 297380 371725 383500 386594 594760 743450 767000 773188 877271 966485 1486900 1546376 1754542 1858625 1932970 2973800 3509084 3717250 3865940 4386355 4832425 7018168 7434500 7731880 8772710 9664850 11404523 14869000 17545420 19329700 21931775 22809046 24162125 35090840 38659400 43863550 45618092 48324250 57022615 87727100 91236184 96648500 109658875 114045230 175454200 193297000 219317750 228090460 285113075 438635500 456180920 570226150 877271000 1140452300 1425565375 2280904600 2851130750 5702261500 11404523000