Search a number
-
+
40072020153440 = 2551122768193269
BaseRepresentation
bin10010001110001111111101…
…00001101101010001100000
312020212211212222112212201212
421013013332201231101200
520223014444124402230
6221120455410045252
711304052005203402
oct1107077641552140
9166784788485655
1040072020153440
111184a4a2779340
1245b2286579828
131948a103c4682
149c76d3514b72
15497572871895
hex2471fe86d460

40072020153440 has 48 divisors (see below), whose sum is σ = 103276524672720. Its totient is φ = 14571643691520.

The previous prime is 40072020153437. The next prime is 40072020153443. The reversal of 40072020153440 is 4435102027004.

It is an interprime number because it is at equal distance from previous prime (40072020153437) and next prime (40072020153443).

It is a super-2 number, since 2×400720201534402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40072020153397 and 40072020153406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40072020153443) 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, 11384094875 + ... + 11384098394.

It is an arithmetic number, because the mean of its divisors is an integer number (2151594264015).

Almost surely, 240072020153440 is an apocalyptic number.

40072020153440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40072020153440 is an abundant number, since it is smaller than the sum of its proper divisors (63204504519280).

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

40072020153440 is a wasteful number, since it uses less digits than its factorization.

40072020153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22768193295 (or 22768193287 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 40072020153440 in words is "forty trillion, seventy-two billion, twenty million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 22768193269 45536386538 91072773076 113840966345 182145546152 227681932690 250450125959 364291092304 455363865380 500900251918 728582184608 910727730760 1001800503836 1252250629795 1821455461520 2003601007672 2504501259590 3642910923040 4007202015344 5009002519180 8014404030688 10018005038360 20036010076720 40072020153440