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34553000040 = 23351329763771
BaseRepresentation
bin100000001011100001…
…001111000001101000
310022012001120021021020
4200023201033001220
51031231032000130
623512354412440
72332153440306
oct401341170150
9108161507236
1034553000040
11137212a4389
126843891120
133348737670
14195adcd276
15d736d5e10
hex80b84f068

34553000040 has 128 divisors (see below), whose sum is σ = 115482326400. Its totient is φ = 8212055040.

The previous prime is 34553000039. The next prime is 34553000081. The reversal of 34553000040 is 4000035543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336646 + ... + 427125.

It is an arithmetic number, because the mean of its divisors is an integer number (902205675).

Almost surely, 234553000040 is an apocalyptic number.

34553000040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34553000040 is an abundant number, since it is smaller than the sum of its proper divisors (80929326360).

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

34553000040 is a wasteful number, since it uses less digits than its factorization.

34553000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763827 (or 763823 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 34553000040 its reverse (4000035543), we get a palindrome (38553035583).

The spelling of 34553000040 in words is "thirty-four billion, five hundred fifty-three million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 763771 1527542 2291313 3055084 3818855 4582626 6110168 7637710 9165252 9929023 11456565 15275420 18330504 19858046 22149359 22913130 29787069 30550840 39716092 44298718 45826260 49645115 59574138 66448077 79432184 88597436 91652520 99290230 110746795 119148276 132896154 148935345 177194872 198580460 221493590 238296552 265792308 287941667 297870690 332240385 397160920 442987180 531584616 575883334 595741380 664480770 863825001 885974360 1151766668 1191482760 1328961540 1439708335 1727650002 2303533336 2657923080 2879416670 3455300004 4319125005 5758833340 6910600008 8638250010 11517666680 17276500020 34553000040