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31004034453440 = 265374755714553
BaseRepresentation
bin1110000110010101100000…
…11101011100111111000000
311001202221211110122122122122
413003022300131130333000
513030432230310002230
6145535020134023412
76346652606416166
oct703126035347700
9131687743578578
1031004034453440
1199738121a2594
1235889584a7b68
13143b88b500539
14792863555236
1538b74581dbe5
hex1c32b075cfc0

31004034453440 has 112 divisors (see below), whose sum is σ = 77436990029952. Its totient is φ = 11809702158336.

The previous prime is 31004034453419. The next prime is 31004034453443. The reversal of 31004034453440 is 4435443040013.

It is a happy number.

31004034453440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×310040344534402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31004034453440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004034453443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27300797 + ... + 28413756.

It is an arithmetic number, because the mean of its divisors is an integer number (691401696696).

Almost surely, 231004034453440 is an apocalyptic number.

It is an amenable number.

31004034453440 is an abundant number, since it is smaller than the sum of its proper divisors (46432955576512).

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

31004034453440 is a wasteful number, since it uses less digits than its factorization.

31004034453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55714654 (or 55714644 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 31004034453440 its reverse (4435443040013), we get a palindrome (35439477493453).

The spelling of 31004034453440 in words is "thirty-one trillion, four billion, thirty-four million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 47 64 74 80 94 148 160 185 188 235 296 320 370 376 470 592 740 752 940 1184 1480 1504 1739 1880 2368 2960 3008 3478 3760 5920 6956 7520 8695 11840 13912 15040 17390 27824 34780 55648 69560 111296 139120 278240 556480 55714553 111429106 222858212 278572765 445716424 557145530 891432848 1114291060 1782865696 2061438461 2228582120 2618583991 3565731392 4122876922 4457164240 5237167982 8245753844 8914328480 10307192305 10474335964 13092919955 16491507688 17828656960 20614384610 20948671928 26185839910 32983015376 41228769220 41897343856 52371679820 65966030752 82457538440 83794687712 96887607667 104743359640 131932061504 164915076880 167589375424 193775215334 209486719280 329830153760 387550430668 418973438560 484438038335 659660307520 775100861336 837946877120 968876076670 1550201722672 1937752153340 3100403445344 3875504306680 6200806890688 7751008613360 15502017226720 31004034453440