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10313423142400 = 29527115105169
BaseRepresentation
bin1001011000010100011111…
…1011000011111000000000
31100111221202012011120021201
42112011013323003320000
52322433342311024100
633533530550430544
72113056145163620
oct226050773037000
940457665146251
1010313423142400
113316997547934
1211a6988662454
1359a722c10c31
1427925aca6880
1512d420c8936a
hex96147ec3e00

10313423142400 has 120 divisors (see below), whose sum is σ = 29202642049680. Its totient is φ = 3536030760960.

The previous prime is 10313423142383. The next prime is 10313423142419. The reversal of 10313423142400 is 424132431301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57462985 + ... + 57642184.

It is an arithmetic number, because the mean of its divisors is an integer number (243355350414).

Almost surely, 210313423142400 is an apocalyptic number.

10313423142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313423142400 is an abundant number, since it is smaller than the sum of its proper divisors (18889218907280).

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

10313423142400 is an equidigital number, since it uses as much as digits as its factorization.

10313423142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115105204 (or 115105183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10313423142400 its reverse (424132431301), we get a palindrome (10737555573701).

The spelling of 10313423142400 in words is "ten trillion, three hundred thirteen billion, four hundred twenty-three million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 89600 115105169 230210338 460420676 575525845 805736183 920841352 1151051690 1611472366 1841682704 2302103380 2877629225 3222944732 3683365408 4028680915 4604206760 5755258450 6445889464 7366730816 8057361830 9208413520 11510516900 12891778928 14733461632 16114723660 18416827040 20143404575 23021033800 25783557856 29466923264 32229447320 36833654080 40286809150 46042067600 51567115712 58933846528 64458894640 73667308160 80573618300 92084135200 103134231424 128917789280 147334616320 161147236600 184168270400 206268462848 257835578560 294669232640 322294473200 368336540800 412536925696 515671157120 644588946400 736673081600 1031342314240 1289177892800 1473346163200 2062684628480 2578355785600 5156711571200 10313423142400