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40454145440 = 255438966067
BaseRepresentation
bin100101101011010000…
…010100010110100000
310212102022121111220222
4211223100110112200
51130322230123230
630330120422212
72631330363662
oct455320242640
9125368544828
1040454145440
111617a346255
127a10017968
133a791a1087
141d5aa28532
1510bb7e36e5
hex96b4145a0

40454145440 has 96 divisors (see below), whose sum is σ = 98895867840. Its totient is φ = 15627515904.

The previous prime is 40454145427. The next prime is 40454145449. The reversal of 40454145440 is 4454145404.

It is a self number, because there is not a number n which added to its sum of digits gives 40454145440.

It is not an unprimeable number, because it can be changed into a prime (40454145449) 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, 579287 + ... + 645353.

It is an arithmetic number, because the mean of its divisors is an integer number (1030165290).

Almost surely, 240454145440 is an apocalyptic number.

40454145440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40454145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447933920).

40454145440 is an abundant number, since it is smaller than the sum of its proper divisors (58441722400).

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

40454145440 is a wasteful number, since it uses less digits than its factorization.

40454145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66214 (or 66206 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 40454145440 in words is "forty billion, four hundred fifty-four million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 89 160 172 178 215 344 356 430 445 688 712 860 890 1376 1424 1720 1780 2848 3440 3560 3827 6880 7120 7654 14240 15308 19135 30616 38270 61232 66067 76540 122464 132134 153080 264268 306160 330335 528536 612320 660670 1057072 1321340 2114144 2642680 2840881 5285360 5681762 5879963 10570720 11363524 11759926 14204405 22727048 23519852 28408810 29399815 45454096 47039704 56817620 58799630 90908192 94079408 113635240 117599260 188158816 227270480 235198520 252838409 454540960 470397040 505676818 940794080 1011353636 1264192045 2022707272 2528384090 4045414544 5056768180 8090829088 10113536360 20227072720 40454145440