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40042251312 = 2437179665773
BaseRepresentation
bin100101010010101101…
…000100010000110000
310211100121120010101220
4211102231010100300
51124001304020222
630221204225040
72615166343320
oct452255042060
9124317503356
1040042251312
1115a88897088
12791609b180
133a11a56a3b
141d1c049280
151095580b5c
hex952b44430

40042251312 has 80 divisors (see below), whose sum is σ = 118880605440. Its totient is φ = 11376711936.

The previous prime is 40042251311. The next prime is 40042251313. The reversal of 40042251312 is 21315224004.

It is an interprime number because it is at equal distance from previous prime (40042251311) and next prime (40042251313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40042251311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272743 + ... + 393030.

It is an arithmetic number, because the mean of its divisors is an integer number (1486007568).

Almost surely, 240042251312 is an apocalyptic number.

40042251312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40042251312 is an abundant number, since it is smaller than the sum of its proper divisors (78838354128).

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

40042251312 is a wasteful number, since it uses less digits than its factorization.

40042251312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665970 (or 665964 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40042251312 its reverse (21315224004), we get a palindrome (61357475316).

The spelling of 40042251312 in words is "forty billion, forty-two million, two hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1253 1432 2148 2506 2864 3759 4296 5012 7518 8592 10024 15036 20048 30072 60144 665773 1331546 1997319 2663092 3994638 4660411 5326184 7989276 9320822 10652368 13981233 15978552 18641644 27962466 31957104 37283288 55924932 74566576 111849864 119173367 223699728 238346734 357520101 476693468 715040202 834213569 953386936 1430080404 1668427138 1906773872 2502640707 2860160808 3336854276 5005281414 5720321616 6673708552 10010562828 13347417104 20021125656 40042251312