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40378202496 = 2732345710139
BaseRepresentation
bin100101100110101110…
…100111100110000000
310212020000201012210100
4211212232213212000
51130143304434441
630314405002400
72626416025662
oct454656474600
9125200635710
1040378202496
1116140496195
1279aa6b3400
133a66531518
141d508da532
1510b4ce1cb6
hex966ba7980

40378202496 has 96 divisors (see below), whose sum is σ = 116237557800. Its totient is φ = 13454180352.

The previous prime is 40378202479. The next prime is 40378202497. The reversal of 40378202496 is 69420287304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40378202497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3977395 + ... + 3987533.

Almost surely, 240378202496 is an apocalyptic number.

It is an amenable number.

40378202496 is an abundant number, since it is smaller than the sum of its proper divisors (75859355304).

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

40378202496 is a wasteful number, since it uses less digits than its factorization.

40378202496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40378202496 in words is "forty billion, three hundred seventy-eight million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3457 6914 10139 10371 13828 20278 20742 27656 30417 31113 40556 41484 55312 60834 62226 81112 82968 91251 110624 121668 124452 162224 165936 182502 221248 243336 248904 324448 331872 365004 442496 486672 497808 648896 663744 730008 973344 995616 1297792 1327488 1460016 1946688 1991232 2920032 3893376 3982464 5840064 11680128 35050523 70101046 105151569 140202092 210303138 280404184 315454707 420606276 560808368 630909414 841212552 1121616736 1261818828 1682425104 2243233472 2523637656 3364850208 4486466944 5047275312 6729700416 10094550624 13459400832 20189101248 40378202496