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1331104412040 = 2335133723061407
BaseRepresentation
bin10011010111101100000…
…000010111000110001000
311201020210221210022002220
4103113230000113012020
5133302100212141130
62455300111054040
7165112002550404
oct23275400270610
94636727708086
101331104412040
11473577814347
12195b88211320
13986a4226490
14485d6560104
15249599a7410
hex135ec017188

1331104412040 has 128 divisors (see below), whose sum is σ = 4416720860160. Its totient is φ = 318800876544.

The previous prime is 1331104412039. The next prime is 1331104412059. The reversal of 1331104412040 is 402144011331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1331104412040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11472984 + ... + 11588423.

It is an arithmetic number, because the mean of its divisors is an integer number (34505631720).

Almost surely, 21331104412040 is an apocalyptic number.

1331104412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331104412040 is an abundant number, since it is smaller than the sum of its proper divisors (3085616448120).

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

1331104412040 is a wasteful number, since it uses less digits than its factorization.

1331104412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23061471 (or 23061467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1331104412040 its reverse (402144011331), we get a palindrome (1733248423371).

The spelling of 1331104412040 in words is "one trillion, three hundred thirty-one billion, one hundred four million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1443 1480 1560 1924 2220 2405 2886 3848 4440 4810 5772 7215 9620 11544 14430 19240 28860 57720 23061407 46122814 69184221 92245628 115307035 138368442 184491256 230614070 276736884 299798291 345921105 461228140 553473768 599596582 691842210 853272059 899394873 922456280 1199193164 1383684420 1498991455 1706544118 1798789746 2398386328 2559816177 2767368840 2997982910 3413088236 3597579492 4266360295 4496974365 5119632354 5995965820 6826176472 7195158984 8532720590 8993948730 10239264708 11092536767 11991931640 12799080885 17065441180 17987897460 20478529416 22185073534 25598161770 33277610301 34130882360 35975794920 44370147068 51196323540 55462683835 66555220602 88740294136 102392647080 110925367670 133110441204 166388051505 221850735340 266220882408 332776103010 443701470680 665552206020 1331104412040