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1355402029072 = 247131153807379
BaseRepresentation
bin10011101110010100010…
…000011010100000010000
311210120112022001010121211
4103232110100122200100
5134201330404412242
62514355121225504
7166632061104130
oct23562420324020
94716468033554
101355402029072
11482906123683
1219a829492294
139aa77097a70
144985d50cac0
15253ccb86317
hex13b9441a810

1355402029072 has 80 divisors (see below), whose sum is σ = 3234919757440. Its totient is φ = 535737286656.

The previous prime is 1355402029063. The next prime is 1355402029117. The reversal of 1355402029072 is 2709202045531.

It is a super-2 number, since 2×13554020290722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1275079 + ... + 2082457.

It is an arithmetic number, because the mean of its divisors is an integer number (40436496968).

Almost surely, 21355402029072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355402029072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617459878720).

1355402029072 is an abundant number, since it is smaller than the sum of its proper divisors (1879517728368).

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

1355402029072 is a wasteful number, since it uses less digits than its factorization.

1355402029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808560 (or 808554 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

It can be divided in two parts, 135540 and 2029072, that added together give a palindrome (2164612).

The spelling of 1355402029072 in words is "one trillion, three hundred fifty-five billion, four hundred two million, twenty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1153 1456 2306 4612 8071 9224 14989 16142 18448 29978 32284 59956 64568 104923 119912 129136 209846 239824 419692 807379 839384 1614758 1678768 3229516 5651653 6459032 10495927 11303306 12918064 20991854 22606612 41983708 45213224 73471489 83967416 90426448 146942978 167934832 293885956 587771912 930907987 1175543824 1861815974 3723631948 6516355909 7447263896 12101803831 13032711818 14894527792 24203607662 26065423636 48407215324 52130847272 84712626817 96814430648 104261694544 169425253634 193628861296 338850507268 677701014536 1355402029072