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10340242001400 = 2335249093510641
BaseRepresentation
bin1001011001111000011001…
…1100111000110111111000
31100121111222020120202120210
42112132012130320313320
52323403303423021100
633554124103551120
72115025556550123
oct226360634706770
940544866522523
1010340242001400
1133272aa049613
1211b001215b4a0
135a010820b47c
1427a682a353ba
1512de9048cc50
hex96786738df8

10340242001400 has 96 divisors (see below), whose sum is σ = 32061289129200. Its totient is φ = 2756835379200.

The previous prime is 10340242001227. The next prime is 10340242001407. The reversal of 10340242001400 is 410024204301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340242001407) 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, 1190080 + ... + 4700720.

Almost surely, 210340242001400 is an apocalyptic number.

10340242001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340242001400 is an abundant number, since it is smaller than the sum of its proper divisors (21721047127800).

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

10340242001400 is a wasteful number, since it uses less digits than its factorization.

10340242001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515569 (or 3515560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10340242001400 its reverse (410024204301), we get a palindrome (10750266205701).

The spelling of 10340242001400 in words is "ten trillion, three hundred forty billion, two hundred forty-two million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4909 9818 14727 19636 24545 29454 39272 49090 58908 73635 98180 117816 122725 147270 196360 245450 294540 368175 490900 589080 736350 981800 1472700 2945400 3510641 7021282 10531923 14042564 17553205 21063846 28085128 35106410 42127692 52659615 70212820 84255384 87766025 105319230 140425640 175532050 210638460 263298075 351064100 421276920 526596150 702128200 1053192300 2106384600 17233736669 34467473338 51701210007 68934946676 86168683345 103402420014 137869893352 172337366690 206804840028 258506050035 344674733380 413609680056 430843416725 517012100070 689349466760 861686833450 1034024200140 1292530250175 1723373666900 2068048400280 2585060500350 3446747333800 5170121000700 10340242001400