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40145742112368 = 2431749198213373
BaseRepresentation
bin10010010000011001010001…
…01100101010011001110000
312021010220011210102102102010
421020030220230222121300
520230221434440043433
6221214411015322520
711312301625415304
oct1110145054523160
9167126153372363
1040145742112368
1111878793909222
12460461b980440
13195295b980889
149cb0c8585d04
15499439ad4e63
hex248328b2a670

40145742112368 has 40 divisors (see below), whose sum is σ = 109810412250768. Its totient is φ = 12594742623232.

The previous prime is 40145742112363. The next prime is 40145742112387. The reversal of 40145742112368 is 86321124754104.

It is a super-2 number, since 2×401457421123682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40145742112363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24599105871 + ... + 24599107502.

Almost surely, 240145742112368 is an apocalyptic number.

40145742112368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40145742112368 is an abundant number, since it is smaller than the sum of its proper divisors (69664670138400).

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

40145742112368 is a wasteful number, since it uses less digits than its factorization.

40145742112368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49198213401 (or 49198213395 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 40145742112368 in words is "forty trillion, one hundred forty-five billion, seven hundred forty-two million, one hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 49198213373 98396426746 147594640119 196792853492 295189280238 393585706984 590378560476 787171413968 836369627341 1180757120952 1672739254682 2361514241904 2509108882023 3345478509364 5018217764046 6690957018728 10036435528092 13381914037456 20072871056184 40145742112368