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147306401000 = 23531167199873
BaseRepresentation
bin1000100100110000100…
…1010100110011101000
3112002020000222111200122
42021030021110303220
54403140414313000
6151401023222412
713433250514643
oct2111411246350
9462200874618
10147306401000
1157521694380
1224670747a08
1310b774c73b5
1471b5b46a5a
153c723b1085
hex224c254ce8

147306401000 has 128 divisors (see below), whose sum is σ = 381647410560. Its totient is φ = 52766208000.

The previous prime is 147306400957. The next prime is 147306401017. The reversal of 147306401000 is 104603741.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637064 + ... + 836936.

It is an arithmetic number, because the mean of its divisors is an integer number (2981620395).

Almost surely, 2147306401000 is an apocalyptic number.

147306401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147306401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190823705280).

147306401000 is an abundant number, since it is smaller than the sum of its proper divisors (234341009560).

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

147306401000 is a wasteful number, since it uses less digits than its factorization.

147306401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199972 (or 199958 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 147306401000 in words is "one hundred forty-seven billion, three hundred six million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 125 134 200 220 250 268 275 335 440 500 536 550 670 737 1000 1100 1340 1375 1474 1675 2200 2680 2750 2948 3350 3685 5500 5896 6700 7370 8375 11000 13400 14740 16750 18425 29480 33500 36850 67000 73700 92125 147400 184250 199873 368500 399746 737000 799492 999365 1598984 1998730 2198603 3997460 4397206 4996825 7994920 8794412 9993650 10993015 13391491 17588824 19987300 21986030 24984125 26782982 39974600 43972060 49968250 53565964 54965075 66957455 87944120 99936500 107131928 109930150 133914910 147306401 199873000 219860300 267829820 274825375 294612802 334787275 439720600 535659640 549650750 589225604 669574550 736532005 1099301500 1178451208 1339149100 1473064010 1673936375 2198603000 2678298200 2946128020 3347872750 3682660025 5892256040 6695745500 7365320050 13391491000 14730640100 18413300125 29461280200 36826600250 73653200500 147306401000