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13904144436 = 22371327313417
BaseRepresentation
bin11001111001100000…
…00110100000110100
31022220000002201110110
430330300012200310
5211433430110221
610215410023020
71001362164150
oct147460064064
938800081413
1013904144436
115995588566
122840577a70
1314077b9900
1495c884060
155659eb776
hex33cc06834

13904144436 has 144 divisors (see below), whose sum is σ = 40702268544. Its totient is φ = 3616524288.

The previous prime is 13904144431. The next prime is 13904144447. The reversal of 13904144436 is 63444140931.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13904144394 and 13904144403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13904144431) 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, 1029600 + ... + 1043016.

Almost surely, 213904144436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13904144436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20351134272).

13904144436 is an abundant number, since it is smaller than the sum of its proper divisors (26798124108).

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

13904144436 is a wasteful number, since it uses less digits than its factorization.

13904144436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13530 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 13904144436 in words is "thirteen billion, nine hundred four million, one hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 169 182 219 273 292 338 364 438 507 511 546 676 876 949 1014 1022 1092 1183 1533 1898 2028 2044 2366 2847 3066 3549 3796 4732 5694 6132 6643 7098 11388 12337 13286 13417 14196 19929 24674 26572 26834 37011 39858 40251 49348 53668 74022 79716 80502 86359 93919 148044 161004 172718 174421 187838 259077 281757 345436 348842 375676 518154 523263 563514 697684 979441 1036308 1046526 1127028 1220947 1958882 2093052 2267473 2441894 2938323 3662841 3917764 4534946 4883788 5876646 6802419 6856087 7325682 9069892 11753292 12732733 13604838 13712174 14651364 15872311 20568261 25465466 27209676 27424348 31744622 38198199 41136522 47616933 50930932 63489244 76396398 82273044 89129131 95233866 152792796 165525529 178258262 190467732 267387393 331051058 356516524 496576587 534774786 662102116 993153174 1069549572 1158678703 1986306348 2317357406 3476036109 4634714812 6952072218 13904144436