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40020164175474 = 232713111232159023
BaseRepresentation
bin10010001100101111010111…
…01010110110011001110010
312020200220001001101020222100
421012113223222312121302
520221142244012103344
6221041002024321230
711300234655520230
oct1106275352663162
9166626031336870
1040020164175474
111182a5023985aa
1245a4214013216
131943b67c95542
149c4db44d9950
1549603a0b7569
hex2465ebab6672

40020164175474 has 96 divisors (see below), whose sum is σ = 99942982723584. Its totient is φ = 11336938161120.

The previous prime is 40020164175413. The next prime is 40020164175517. The reversal of 40020164175474 is 47457146102004.

40020164175474 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 0 + 1 + 6 + 4 + 175 + 474 = 666.

It is a super-2 number, since 2×400201641754742 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17456727 + ... + 19615749.

It is an arithmetic number, because the mean of its divisors is an integer number (1041072736704).

Almost surely, 240020164175474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40020164175474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49971491361792).

40020164175474 is an abundant number, since it is smaller than the sum of its proper divisors (59922818548110).

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

40020164175474 is a wasteful number, since it uses less digits than its factorization.

40020164175474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160292 (or 2160289 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40020164175474 in words is "forty trillion, twenty billion, one hundred sixty-four million, one hundred seventy-five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1123 1179 1834 2246 2358 2751 3369 5502 6738 7861 8253 10107 15722 16506 20214 23583 47166 70749 141498 147113 294226 441339 882678 1029791 1324017 2059582 2159023 2648034 3089373 4318046 6178746 6477069 9268119 12954138 15113161 18536238 19431207 30226322 38862414 45339483 90678966 136018449 272036898 282832013 565664026 848496039 1696992078 1979824091 2424582829 2545488117 3959648182 4849165658 5090976234 5939472273 7273748487 11878944546 14547496974 16972079803 17818416819 21821245461 33944159606 35636833638 43642490922 50916239409 101832478818 152748718227 305497436454 317620350599 635240701198 952861051797 1905722103594 2223342454193 2858583155391 4446684908386 5717166310782 6670027362579 13340054725158 20010082087737 40020164175474