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40097853040 = 245779906371
BaseRepresentation
bin100101010110000001…
…001010111001110000
310211111111011222122011
4211112001022321300
51124110022244130
630230512052304
72616443061430
oct452601127160
9124444158564
1040097853040
1116007213523
127930834094
133a20423a7b
141d255a02c0
15109a3b552a
hex95604ae70

40097853040 has 80 divisors (see below), whose sum is σ = 107894522880. Its totient is φ = 13573797120.

The previous prime is 40097853017. The next prime is 40097853043. The reversal of 40097853040 is 4035879004.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 40097852984 and 40097853002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40097853043) 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, 408946 + ... + 497425.

It is an arithmetic number, because the mean of its divisors is an integer number (1348681536).

Almost surely, 240097853040 is an apocalyptic number.

40097853040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40097853040 is an abundant number, since it is smaller than the sum of its proper divisors (67796669840).

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

40097853040 is a wasteful number, since it uses less digits than its factorization.

40097853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906470 (or 906464 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 40097853040 in words is "forty billion, ninety-seven million, eight hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 5530 6320 8848 11060 22120 44240 906371 1812742 3625484 4531855 6344597 7250968 9063710 12689194 14501936 18127420 25378388 31722985 36254840 50756776 63445970 71603309 72509680 101513552 126891940 143206618 253783880 286413236 358016545 501223163 507567760 572826472 716033090 1002446326 1145652944 1432066180 2004892652 2506115815 2864132360 4009785304 5012231630 5728264720 8019570608 10024463260 20048926520 40097853040