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40325531971440 = 2435353475985977
BaseRepresentation
bin10010010101101000001010…
…00000100010111101110000
312021210002020122202120111110
421022310011000202331300
520241143142141041230
6221433143232113320
711331265163123532
oct1112640500427560
9167702218676443
1040325531971440
1111937a64571411
124633437095840
1319668b1bca081
149d5aa24bd852
1549de5db2e4b0
hex24ad05022f70

40325531971440 has 80 divisors (see below), whose sum is σ = 125363282941728. Its totient is φ = 10723012067328.

The previous prime is 40325531971421. The next prime is 40325531971447. The reversal of 40325531971440 is 4417913552304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×403255319714402 (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 self number, because there is not a number n which added to its sum of digits gives 40325531971440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40325531971447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237908269 + ... + 238077708.

Almost surely, 240325531971440 is an apocalyptic number.

40325531971440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40325531971440 is an abundant number, since it is smaller than the sum of its proper divisors (85037750970288).

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

40325531971440 is a wasteful number, since it uses less digits than its factorization.

40325531971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475986346 (or 475986340 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 40325531971440 in words is "forty trillion, three hundred twenty-five billion, five hundred thirty-one million, nine hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 14120 16944 21180 28240 42360 84720 475985977 951971954 1427957931 1903943908 2379929885 2855915862 3807887816 4759859770 5711831724 7139789655 7615775632 9519719540 11423663448 14279579310 19039439080 22847326896 28559158620 38078878160 57118317240 114236634480 168023049881 336046099762 504069149643 672092199524 840115249405 1008138299286 1344184399048 1680230498810 2016276598572 2520345748215 2688368798096 3360460997620 4032553197144 5040691496430 6720921995240 8065106394288 10081382992860 13441843990480 20162765985720 40325531971440