Search a number
-
+
4071104077542 = 236721495091993
BaseRepresentation
bin111011001111100000101…
…101100101111011100110
3112102012020020120002110120
4323033200231211323212
51013200110120440132
612354123413102410
7600061516460535
oct73174055457346
915365206502416
104071104077542
11132a600133517
12559010627a06
13236b98bc09b8
1410108483631c
1570d734aa02c
hex3b3e0b65ee6

4071104077542 has 96 divisors (see below), whose sum is σ = 8341552044000. Its totient is φ = 1324535173632.

The previous prime is 4071104077541. The next prime is 4071104077543. The reversal of 4071104077542 is 2457704011704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4071104077541) and next prime (4071104077543).

It is a junction number, because it is equal to n+sod(n) for n = 4071104077494 and 4071104077503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4071104077541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042700498 + ... + 2042702490.

It is an arithmetic number, because the mean of its divisors is an integer number (86891167125).

Almost surely, 24071104077542 is an apocalyptic number.

4071104077542 is an abundant number, since it is smaller than the sum of its proper divisors (4270447966458).

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

4071104077542 is a wasteful number, since it uses less digits than its factorization.

4071104077542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 4071104077542 in words is "four trillion, seventy-one billion, one hundred four million, seventy-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 67 134 149 201 298 402 447 509 894 1018 1527 1993 3054 3986 4489 5979 8978 9983 11958 13467 19966 26934 29949 34103 59898 68206 75841 102309 133531 151682 204618 227523 267062 296957 400593 455046 593914 668861 801186 890871 1014437 1337722 1781742 2006583 2028874 2284901 3043311 4013166 4569802 5081347 6086622 6854703 8946577 10162694 13709406 15244041 17893154 19896119 26839731 30488082 39792238 53679462 59688357 67967279 119376714 135934558 151151113 203901837 302302226 340450249 407803674 453453339 680900498 906906678 1021350747 1333039973 2042701494 2666079946 3999119919 4553807693 7998239838 9107615386 10127124571 13661423079 20254249142 27322846158 30381373713 60762747426 678517346257 1357034692514 2035552038771 4071104077542