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10298791440 = 243357681137
BaseRepresentation
bin10011001011101101…
…10001011000010000
3222120201222210221000
421211312301120100
5132042442311230
64421534502000
7513133166010
oct114566613020
928521883830
1010298791440
114405443493
121bb5064900
13c81884142
146d9addc40
1540422db60
hex265db1610

10298791440 has 160 divisors (see below), whose sum is σ = 40541333760. Its totient is φ = 2354006016.

The previous prime is 10298791439. The next prime is 10298791441. The reversal of 10298791440 is 4419789201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10298791439) and next prime (10298791441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10298791441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325449 + ... + 355688.

It is an arithmetic number, because the mean of its divisors is an integer number (253383336).

Almost surely, 210298791440 is an apocalyptic number.

10298791440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10298791440 is an abundant number, since it is smaller than the sum of its proper divisors (30242542320).

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

10298791440 is a wasteful number, since it uses less digits than its factorization.

10298791440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681166 (or 681154 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10298791440 in words is "ten billion, two hundred ninety-eight million, seven hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 681137 1362274 2043411 2724548 3405685 4086822 4767959 5449096 6130233 6811370 8173644 9535918 10217055 10898192 12260466 13622740 14303877 16347288 18390699 19071836 20434110 23839795 24520932 27245480 28607754 30651165 32694576 36781398 38143672 40868220 42911631 47679590 49041864 54490960 57215508 61302330 71519385 73562796 76287344 81736440 85823262 91953495 95359180 98083728 114431016 122604660 128734893 143038770 147125592 163472880 171646524 183906990 190718360 214558155 228862032 245209320 257469786 286077540 294251184 343293048 367813980 381436720 429116310 490418640 514939572 572155080 643674465 686586096 735627960 858232620 1029879144 1144310160 1287348930 1471255920 1716465240 2059758288 2574697860 3432930480 5149395720 10298791440