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5035310144040 = 23351114892561873
BaseRepresentation
bin100100101000101111111…
…0111110101101000101000
3122211101000102101021222210
41021101133313311220220
51124444303344102130
614413104535245120
71026534452014401
oct111213767655050
918741012337883
105035310144040
111671510340390
12693a632197a0
132a6a9b628017
141359d31469a8
158aea76165b0
hex4945fdf5a28

5035310144040 has 128 divisors (see below), whose sum is σ = 16490270563200. Its totient is φ = 1219860971520.

The previous prime is 5035310144027. The next prime is 5035310144057. The reversal of 5035310144040 is 404410135305.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5035310143989 and 5035310144007.

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, 684544 + ... + 3246416.

It is an arithmetic number, because the mean of its divisors is an integer number (128830238775).

Almost surely, 25035310144040 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 5035310144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245135281600).

5035310144040 is an abundant number, since it is smaller than the sum of its proper divisors (11454960419160).

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

5035310144040 is a wasteful number, since it uses less digits than its factorization.

5035310144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563387 (or 2563383 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 5035310144040 its reverse (404410135305), we get a palindrome (5439720279345).

The spelling of 5035310144040 in words is "five trillion, thirty-five billion, three hundred ten million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1489 2978 4467 5956 7445 8934 11912 14890 16379 17868 22335 29780 32758 35736 44670 49137 59560 65516 81895 89340 98274 131032 163790 178680 196548 245685 327580 393096 491370 655160 982740 1965480 2561873 5123746 7685619 10247492 12809365 15371238 20494984 25618730 28180603 30742476 38428095 51237460 56361206 61484952 76856190 84541809 102474920 112722412 140903015 153712380 169083618 225444824 281806030 307424760 338167236 422709045 563612060 676334472 845418090 1127224120 1690836180 3381672360 3814628897 7629257794 11443886691 15258515588 19073144485 22887773382 30517031176 38146288970 41960917867 45775546764 57219433455 76292577940 83921835734 91551093528 114438866910 125882753601 152585155880 167843671468 209804589335 228877733820 251765507202 335687342936 419609178670 457755467640 503531014404 629413768005 839218357340 1007062028808 1258827536010 1678436714680 2517655072020 5035310144040