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40248377232 = 24375310321943
BaseRepresentation
bin100101011110111111…
…010111111110010000
310211212222102102000020
4211132333113332100
51124412041032412
630253450223440
72623251363450
oct453677277620
9124788372006
1040248377232
1116084183588
127973124b80
133a4567743b
141d3b583d60
1510a86ea18c
hex95efd7f90

40248377232 has 160 divisors (see below), whose sum is σ = 122251603968. Its totient is φ = 11172515328.

The previous prime is 40248377159. The next prime is 40248377261. The reversal of 40248377232 is 23277384204.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823253 + ... + 1845195.

Almost surely, 240248377232 is an apocalyptic number.

40248377232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40248377232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61125801984).

40248377232 is an abundant number, since it is smaller than the sum of its proper divisors (82003226736).

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

40248377232 is a wasteful number, since it uses less digits than its factorization.

40248377232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22117 (or 22111 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 40248377232 in words is "forty billion, two hundred forty-eight million, three hundred seventy-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 103 106 112 159 168 206 212 309 318 336 371 412 424 618 636 721 742 824 848 1113 1236 1272 1442 1484 1648 2163 2226 2472 2544 2884 2968 4326 4452 4944 5459 5768 5936 8652 8904 10918 11536 16377 17304 17808 21836 21943 32754 34608 38213 43672 43886 65508 65829 76426 87344 87772 114639 131016 131658 152852 153601 175544 229278 262032 263316 305704 307202 351088 458556 460803 526632 611408 614404 917112 921606 1053264 1162979 1228808 1834224 1843212 2260129 2325958 2457616 3488937 3686424 4520258 4651916 6780387 6977874 7372848 8140853 9040516 9303832 13560774 13955748 15820903 16281706 18081032 18607664 24422559 27121548 27911496 31641806 32563412 36162064 47462709 48845118 54243096 55822992 63283612 65126824 94925418 97690236 108486192 119786837 126567224 130253648 189850836 195380472 239573674 253134448 359360511 379701672 390760944 479147348 718721022 759403344 838507859 958294696 1437442044 1677015718 1916589392 2515523577 2874884088 3354031436 5031047154 5749768176 6708062872 10062094308 13416125744 20124188616 40248377232