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1355653136400 = 243521915914717
BaseRepresentation
bin10011101110100011001…
…110010100000000010000
311210121011210112201010020
4103232203032110000100
5134202334200331100
62514440051303440
7166641230350353
oct23564316240020
94717153481106
101355653136400
11482a249432a2
1219a8995aab80
139aab7107494
14498849d629a
15253e4c385a0
hex13ba3394010

1355653136400 has 120 divisors (see below), whose sum is σ = 4365345790464. Its totient is φ = 359614732800.

The previous prime is 1355653136359. The next prime is 1355653136459. The reversal of 1355653136400 is 46313565531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2728159 + ... + 3186558.

Almost surely, 21355653136400 is an apocalyptic number.

1355653136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355653136400 is an abundant number, since it is smaller than the sum of its proper divisors (3009692654064).

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

1355653136400 is a wasteful number, since it uses less digits than its factorization.

1355653136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914929 (or 5914918 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 1355653136400 in words is "one trillion, three hundred fifty-five billion, six hundred fifty-three million, one hundred thirty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 191 200 240 300 382 400 573 600 764 955 1146 1200 1528 1910 2292 2865 3056 3820 4584 4775 5730 7640 9168 9550 11460 14325 15280 19100 22920 28650 38200 45840 57300 76400 114600 229200 5914717 11829434 17744151 23658868 29573585 35488302 47317736 59147170 70976604 88720755 94635472 118294340 141953208 147867925 177441510 236588680 283906416 295735850 354883020 443603775 473177360 591471700 709766040 887207550 1129710947 1182943400 1419532080 1774415100 2259421894 2365886800 3389132841 3548830200 4518843788 5648554735 6778265682 7097660400 9037687576 11297109470 13556531364 16945664205 18075375152 22594218940 27113062728 28242773675 33891328410 45188437880 54226125456 56485547350 67782656820 84728321025 90376875760 112971094700 135565313640 169456642050 225942189400 271130627280 338913284100 451884378800 677826568200 1355653136400