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41700513414 = 23726122310427
BaseRepresentation
bin100110110101100010…
…110101011010000110
310222122011212120100210
4212311202311122012
51140400312412124
631053522420250
73004243341600
oct466542653206
9128564776323
1041700513414
1116759941a2a
1280b9501686
133c1747b711
142038388170
151140e3ca29
hex9b58b5686

41700513414 has 96 divisors (see below), whose sum is σ = 99059659776. Its totient is φ = 11665442880.

The previous prime is 41700513403. The next prime is 41700513427. The reversal of 41700513414 is 41431500714.

41700513414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3994069 + ... + 4004495.

It is an arithmetic number, because the mean of its divisors is an integer number (1031871456).

Almost surely, 241700513414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41700513414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49529829888).

41700513414 is an abundant number, since it is smaller than the sum of its proper divisors (57359146362).

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

41700513414 is a wasteful number, since it uses less digits than its factorization.

41700513414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 41700513414 in words is "forty-one billion, seven hundred million, five hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 223 294 366 427 446 669 854 1281 1338 1561 2562 2989 3122 4683 5978 8967 9366 10427 10927 13603 17934 20854 21854 27206 31281 32781 40809 62562 65562 72989 81618 95221 145978 190442 218967 285663 437934 510923 571326 636047 666547 1021846 1272094 1333094 1532769 1908141 1999641 2325221 3065538 3816282 3999282 4452329 4650442 6975663 8904658 13356987 13951326 16276547 26713974 31166303 32553094 48829641 62332606 93498909 97659282 113935829 141838481 186997818 227871658 283676962 341807487 425515443 683614974 851030886 992869367 1985738734 2978608101 5957216202 6950085569 13900171138 20850256707 41700513414