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153433214000 = 24531115146187
BaseRepresentation
bin1000111011100101010…
…1010000110000110000
3112200001000122212002122
42032321111100300300
510003212400322000
6154253010133412
714041134541343
oct2167125206060
9480030585078
10153433214000
115a08605a6a0
12258a0581268
1311612934131
1475d772645a
153ed01e8085
hex23b9550c30

153433214000 has 160 divisors (see below), whose sum is σ = 407418066432. Its totient is φ = 55423200000.

The previous prime is 153433213933. The next prime is 153433214003. The reversal of 153433214000 is 412334351.

It is not an unprimeable number, because it can be changed into a prime (153433214003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3298907 + ... + 3345093.

Almost surely, 2153433214000 is an apocalyptic number.

153433214000 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 153433214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203709033216).

153433214000 is an abundant number, since it is smaller than the sum of its proper divisors (253984852432).

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

153433214000 is a wasteful number, since it uses less digits than its factorization.

153433214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46372 (or 46356 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 153433214000 its reverse (412334351), we get a palindrome (153845548351).

The spelling of 153433214000 in words is "one hundred fifty-three billion, four hundred thirty-three million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 151 176 200 220 250 275 302 400 440 500 550 604 755 880 1000 1100 1208 1375 1510 1661 2000 2200 2416 2750 3020 3322 3775 4400 5500 6040 6644 7550 8305 11000 12080 13288 15100 16610 18875 22000 26576 30200 33220 37750 41525 46187 60400 66440 75500 83050 92374 132880 151000 166100 184748 207625 230935 302000 332200 369496 415250 461870 508057 664400 738992 830500 923740 1016114 1154675 1661000 1847480 2032228 2309350 2540285 3322000 3694960 4064456 4618700 5080570 5773375 6974237 8128912 9237400 10161140 11546750 12701425 13948474 18474800 20322280 23093500 25402850 27896948 34871185 40644560 46187000 50805700 55793896 63507125 69742370 76716607 92374000 101611400 111587792 127014250 139484740 153433214 174355925 203222800 254028500 278969480 306866428 348711850 383583035 508057000 557938960 613732856 697423700 767166070 871779625 1016114000 1227465712 1394847400 1534332140 1743559250 1917915175 2789694800 3068664280 3487118500 3835830350 6137328560 6974237000 7671660700 9589575875 13948474000 15343321400 19179151750 30686642800 38358303500 76716607000 153433214000