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42404156515416 = 233101157761146417
BaseRepresentation
bin10011010010000111111001…
…01011111010010001011000
312120010210112120120002111210
421221003330223322101120
521024222203031443131
6230104111154023120
711634412346203413
oct1151037453722130
9176123476502453
1042404156515416
1112569557973863
12490a262277aa0
131a8790562c237
14a6852d184b7a
154d8069483146
hex2690fcafa458

42404156515416 has 128 divisors (see below), whose sum is σ = 107884226151360. Its totient is φ = 13887264768000.

The previous prime is 42404156515393. The next prime is 42404156515451. The reversal of 42404156515416 is 61451565140424.

42404156515416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424041565154162 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 289539040 + ... + 289685456.

Almost surely, 242404156515416 is an apocalyptic number.

It is an amenable number.

42404156515416 is an abundant number, since it is smaller than the sum of its proper divisors (65480069635944).

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

42404156515416 is a wasteful number, since it uses less digits than its factorization.

42404156515416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147445 (or 147441 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 42404156515416 in words is "forty-two trillion, four hundred four billion, one hundred fifty-six million, five hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 101 157 202 303 314 404 471 606 628 761 808 942 1212 1256 1522 1884 2283 2424 3044 3768 4566 6088 9132 15857 18264 31714 47571 63428 76861 95142 119477 126856 146417 153722 190284 230583 238954 292834 307444 358431 380568 439251 461166 477908 585668 614888 716862 878502 922332 955816 1171336 1433724 1757004 1844664 2867448 3514008 12067177 14788117 22987469 24134354 29576234 36201531 44364351 45974938 48268708 59152468 68962407 72403062 88728702 91949876 96537416 111423337 118304936 137924814 144806124 177457404 183899752 222846674 275849628 289612248 334270011 354914808 445693348 551699256 668540022 891386696 1337080044 2321734369 2674160088 4643468738 6965203107 9286937476 11253757037 13930406214 17493463909 18573874952 22507514074 27860812428 33761271111 34986927818 45015028148 52480391727 55721624856 67522542222 69973855636 90030056296 104960783454 135045084444 139947711272 209921566908 270090168888 419843133816 1766839854809 3533679709618 5300519564427 7067359419236 10601039128854 14134718838472 21202078257708 42404156515416