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1040312013400 = 2352112741172517
BaseRepresentation
bin11110010001101110110…
…11011001001001011000
310200110020010120212220101
433020313123121021120
5114021024333412100
62113525052505144
7135105621132622
oct17106733311130
93613203525811
101040312013400
11371215013250
1214975247b1b4
1377140b93cca
14384cc233c12
151c0da83186a
hexf2376d9258

1040312013400 has 96 divisors (see below), whose sum is σ = 2639587506480. Its totient is φ = 378155072000.

The previous prime is 1040312013383. The next prime is 1040312013401. The reversal of 1040312013400 is 43102130401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040312013401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5943942 + ... + 6116458.

Almost surely, 21040312013400 is an apocalyptic number.

1040312013400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040312013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319793753240).

1040312013400 is an abundant number, since it is smaller than the sum of its proper divisors (1599275493080).

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

1040312013400 is a wasteful number, since it uses less digits than its factorization.

1040312013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175285 (or 175276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1040312013400 its reverse (43102130401), we get a palindrome (1083414143801).

The spelling of 1040312013400 in words is "one trillion, forty billion, three hundred twelve million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2741 5482 10964 13705 21928 27410 30151 54820 60302 68525 109640 120604 137050 150755 172517 241208 274100 301510 345034 548200 603020 690068 753775 862585 1206040 1380136 1507550 1725170 1897687 3015100 3450340 3795374 4312925 6030200 6900680 7590748 8625850 9488435 15181496 17251700 18976870 34503400 37953740 47442175 75907480 94884350 189768700 379537400 472869097 945738194 1891476388 2364345485 3782952776 4728690970 5201560067 9457381940 10403120134 11821727425 18914763880 20806240268 23643454850 26007800335 41612480536 47286909700 52015600670 94573819400 104031201340 130039001675 208062402680 260078003350 520156006700 1040312013400