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34531555234044 = 223111918777335409
BaseRepresentation
bin1111101101000000000010…
…00101010101000011111100
311112021011222110100011001210
413312200001011111003330
514011231111114442134
6201235324422404420
710162552062342621
oct766400105250374
9145234873304053
1034531555234044
111000382876a540
123a58543b90710
131636408a0b66b
1487549c718348
153ed3a1ceb2e9
hex1f68011550fc

34531555234044 has 96 divisors (see below), whose sum is σ = 92574047865600. Its totient is φ = 9908082293760.

The previous prime is 34531555234039. The next prime is 34531555234051. The reversal of 34531555234044 is 44043255513543.

It is a junction number, because it is equal to n+sod(n) for n = 34531555233984 and 34531555234002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039812 + ... + 8375220.

It is an arithmetic number, because the mean of its divisors is an integer number (964312998600).

Almost surely, 234531555234044 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 34531555234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46287023932800).

34531555234044 is an abundant number, since it is smaller than the sum of its proper divisors (58042492631556).

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

34531555234044 is a wasteful number, since it uses less digits than its factorization.

34531555234044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337323 (or 7337321 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 34531555234044 in words is "thirty-four trillion, five hundred thirty-one billion, five hundred fifty-five million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1877 2508 3754 5631 7508 11262 20647 22524 35663 41294 61941 71326 82588 106989 123882 142652 213978 247764 392293 427956 784586 1176879 1569172 2353758 4707516 7335409 14670818 22006227 29341636 44012454 80689499 88024908 139372771 161378998 242068497 278745542 322757996 418118313 484136994 557491084 836236626 968273988 1533100481 1672473252 3066200962 4599301443 6132401924 9198602886 13768562693 18397205772 27537125386 41305688079 55074250772 82611376158 151454189623 165222752316 261602691167 302908379246 454362568869 523205382334 605816758492 784808073501 908725137738 1046410764668 1569616147002 1817450275476 2877629602837 3139232294004 5755259205674 8632888808511 11510518411348 17265777617022 34531555234044