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40151338248 = 2337378972577
BaseRepresentation
bin100101011001001101…
…001100110100001000
310211122012211022112210
4211121031030310020
51124212220310443
630240102305120
72620662513120
oct453115146410
9124565738483
1040151338248
111603442477a
1279467281a0
133a2b52c618
141d2c723c80
15109ee2cc33
hex95934cd08

40151338248 has 128 divisors (see below), whose sum is σ = 119144044800. Its totient is φ = 11036196864.

The previous prime is 40151338247. The next prime is 40151338261. The reversal of 40151338248 is 84283315104.

It is a super-2 number, since 2×401513382482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40151338243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516936 + ... + 589512.

It is an arithmetic number, because the mean of its divisors is an integer number (930812850).

Almost surely, 240151338248 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 40151338248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59572022400).

40151338248 is an abundant number, since it is smaller than the sum of its proper divisors (78992706552).

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

40151338248 is a wasteful number, since it uses less digits than its factorization.

40151338248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72719 (or 72715 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 40151338248 in words is "forty billion, one hundred fifty-one million, three hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 89 111 148 168 178 222 259 267 296 356 444 518 534 623 712 777 888 1036 1068 1246 1554 1869 2072 2136 2492 3108 3293 3738 4984 6216 6586 7476 9879 13172 14952 19758 23051 26344 39516 46102 69153 72577 79032 92204 138306 145154 184408 217731 276612 290308 435462 508039 553224 580616 870924 1016078 1524117 1741848 2032156 2685349 3048234 4064312 5370698 6096468 6459353 8056047 10741396 12192936 12918706 16112094 18797443 19378059 21482792 25837412 32224188 37594886 38756118 45215471 51674824 56392329 64448376 75189772 77512236 90430942 112784658 135646413 150379544 155024472 180861884 225569316 238996061 271292826 361723768 451138632 477992122 542585652 716988183 955984244 1085171304 1433976366 1672972427 1911968488 2867952732 3345944854 5018917281 5735905464 6691889708 10037834562 13383779416 20075669124 40151338248