Search a number
-
+
4120816207440 = 2435135911263341
BaseRepresentation
bin111011111101110011110…
…010010100011001010000
3112120221112202200221112210
4323331303302110121100
51020003412422114230
612433024332352120
7603501444554052
oct73756362243120
915527482627483
104120816207440
1113496a0357499
12566785015640
1323b78c11ba8a
1410363cc2d8d2
15722d2939eb0
hex3bf73c94650

4120816207440 has 80 divisors (see below), whose sum is σ = 12775480281216. Its totient is φ = 1098802598400.

The previous prime is 4120816207427. The next prime is 4120816207471. The reversal of 4120816207440 is 447026180214.

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

It is a super-2 number, since 2×41208162074402 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 2630170 + ... + 3893510.

Almost surely, 24120816207440 is an apocalyptic number.

4120816207440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120816207440 is an abundant number, since it is smaller than the sum of its proper divisors (8654664073776).

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

4120816207440 is a wasteful number, since it uses less digits than its factorization.

4120816207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276948 (or 1276942 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 4120816207440 in words is "four trillion, one hundred twenty billion, eight hundred sixteen million, two hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13591 27182 40773 54364 67955 81546 108728 135910 163092 203865 217456 271820 326184 407730 543640 652368 815460 1087280 1263341 1630920 2526682 3261840 3790023 5053364 6316705 7580046 10106728 12633410 15160092 18950115 20213456 25266820 30320184 37900230 50533640 60640368 75800460 101067280 151600920 303201840 17170067531 34340135062 51510202593 68680270124 85850337655 103020405186 137360540248 171700675310 206040810372 257551012965 274721080496 343401350620 412081620744 515102025930 686802701240 824163241488 1030204051860 1373605402480 2060408103720 4120816207440