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40103487330335 = 51113373174782061
BaseRepresentation
bin10010001111001010100100…
…00111011101100000011111
312020222212002222121002102222
421013211102013131200133
520224023420224032320
6221143142052535555
711306244541613042
oct1107452207354037
9166885088532388
1040103487330335
1111861880114060
1245b83a89215bb
13194b986728a80
149c903a75ac59
154982b51ae825
hex2479521dd81f

40103487330335 has 64 divisors (see below), whose sum is σ = 58248728705664. Its totient is φ = 26112342988800.

The previous prime is 40103487330299. The next prime is 40103487330343. The reversal of 40103487330335 is 53303378430104.

40103487330335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40103487330335 - 218 = 40103487068191 is a prime.

It is a super-2 number, since 2×401034873303352 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5995205 + ... + 10777265.

It is an arithmetic number, because the mean of its divisors is an integer number (910136386026).

Almost surely, 240103487330335 is an apocalyptic number.

40103487330335 is a deficient number, since it is larger than the sum of its proper divisors (18145241375329).

40103487330335 is a wasteful number, since it uses less digits than its factorization.

40103487330335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782444.

The product of its (nonzero) digits is 1088640, while the sum is 44.

The spelling of 40103487330335 in words is "forty trillion, one hundred three billion, four hundred eighty-seven million, three hundred thirty thousand, three hundred thirty-five".

Divisors: 1 5 11 13 37 55 65 143 185 317 407 481 715 1585 2035 2405 3487 4121 5291 11729 17435 20605 26455 45331 58645 129019 152477 226655 645095 762385 1677247 4782061 8386235 23910305 52602671 62166793 176936257 263013355 310833965 683834723 884681285 1515913337 1946298827 2300171341 3419173615 7579566685 9731494135 11500856705 16675046707 19706873381 25301884751 56088793469 83375233535 98534366905 126509423755 216775607191 280443967345 616976728159 729154315097 1083878035955 3084883640795 3645771575485 8020697466067 40103487330335