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1146440253400 = 2352134110754599
BaseRepresentation
bin10000101011101101001…
…010011111111111011000
311001121011101121002000221
4100223231022133333120
5122240402201102100
62234400053205424
7145553600240221
oct20535512377730
94047141532027
101146440253400
114022256a9802
12166230630874
13841551bcb60
143d6b9126248
151ec4ca8601a
hex10aed29ffd8

1146440253400 has 96 divisors (see below), whose sum is σ = 2940522732000. Its totient is φ = 412976563200.

The previous prime is 1146440253323. The next prime is 1146440253401. The reversal of 1146440253400 is 43520446411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146440253401) 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, 5270700 + ... + 5483899.

It is an arithmetic number, because the mean of its divisors is an integer number (30630445125).

Almost surely, 21146440253400 is an apocalyptic number.

1146440253400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146440253400 is an abundant number, since it is smaller than the sum of its proper divisors (1794082478600).

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

1146440253400 is a wasteful number, since it uses less digits than its factorization.

1146440253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754669 (or 10754660 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 1146440253400 its reverse (43520446411), we get a palindrome (1189960699811).

The spelling of 1146440253400 in words is "one trillion, one hundred forty-six billion, four hundred forty million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 200 205 260 325 328 410 520 533 650 820 1025 1066 1300 1640 2050 2132 2600 2665 4100 4264 5330 8200 10660 13325 21320 26650 53300 106600 10754599 21509198 43018396 53772995 86036792 107545990 139809787 215091980 268864975 279619574 430183960 440938559 537729950 559239148 699048935 881877118 1075459900 1118478296 1398097870 1763754236 2150919800 2204692795 2796195740 3495244675 3527508472 4409385590 5592391480 5732201267 6990489350 8818771180 11023463975 11464402534 13980978700 17637542360 22046927950 22928805068 27961957400 28661006335 44093855900 45857610136 57322012670 88187711800 114644025340 143305031675 229288050680 286610063350 573220126700 1146440253400