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40298666742 = 232291573131571
BaseRepresentation
bin100101100001111111…
…001101101011110110
310212000111001101020200
4211201333031223312
51130012424313432
630302444141330
72624432005215
oct454177155366
9125014041220
1040298666742
11160aa601864
127987b37846
133a52c04549
141d4411507c
1510acd30a7c
hex961fcdaf6

40298666742 has 96 divisors (see below), whose sum is σ = 91248374880. Its totient is φ = 12837726720.

The previous prime is 40298666731. The next prime is 40298666767. The reversal of 40298666742 is 24766689204.

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, 25650817 + ... + 25652387.

It is an arithmetic number, because the mean of its divisors is an integer number (950503905).

Almost surely, 240298666742 is an apocalyptic number.

40298666742 is the 163908-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40298666742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45624187440).

40298666742 is an abundant number, since it is smaller than the sum of its proper divisors (50949708138).

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

40298666742 is a wasteful number, since it uses less digits than its factorization.

40298666742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 40298666742 in words is "forty billion, two hundred ninety-eight million, six hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 157 174 261 313 314 471 522 626 939 942 1413 1571 1878 2817 2826 3142 4553 4713 5634 9077 9106 9426 13659 14139 18154 27231 27318 28278 40977 45559 49141 54462 81693 81954 91118 98282 136677 147423 163386 246647 273354 294846 410031 442269 491723 493294 739941 820062 884538 983446 1425089 1475169 1479882 2219823 2850178 2950338 4275267 4425507 4439646 7152763 8550534 8851014 12825801 14259967 14305526 21458289 25651602 28519934 42779901 42916578 64374867 77200511 85559802 128339703 128749734 154401022 231601533 256679406 463203066 694804599 1389609198 2238814819 4477629638 6716444457 13432888914 20149333371 40298666742