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154214511132 = 223112739143719
BaseRepresentation
bin1000111110011111100…
…1101011001000011100
3112202001110210212021110
42033213321223020130
510011312403324012
6154502320102020
714066402500503
oct2174771531034
9482043725243
10154214511132
115a447086800
1225a7a164910
1311708769126
14766d3c383a
154028ac873c
hex23e7e6b21c

154214511132 has 72 divisors (see below), whose sum is σ = 396057827200. Its totient is φ = 46668108960.

The previous prime is 154214511109. The next prime is 154214511149. The reversal of 154214511132 is 231115412451.

It is a self number, because there is not a number n which added to its sum of digits gives 154214511132.

It is a congruent number.

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, 1001169 + ... + 1144887.

Almost surely, 2154214511132 is an apocalyptic number.

154214511132 is a gapful number since it is divisible by the number (12) 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 154214511132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198028913600).

154214511132 is an abundant number, since it is smaller than the sum of its proper divisors (241843316068).

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

154214511132 is a wasteful number, since it uses less digits than its factorization.

154214511132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144487 (or 144474 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

Adding to 154214511132 its reverse (231115412451), we get a palindrome (385329923583).

The spelling of 154214511132 in words is "one hundred fifty-four billion, two hundred fourteen million, five hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 739 1452 1478 2217 2956 4434 8129 8868 16258 24387 32516 48774 89419 97548 143719 178838 268257 287438 357676 431157 536514 574876 862314 1073028 1580909 1724628 3161818 4742727 6323636 9485454 17389999 18970908 34779998 52169997 69559996 104339994 106208341 208679988 212416682 318625023 424833364 637250046 1168291751 1274500092 2336583502 3504875253 4673167004 7009750506 12851209261 14019501012 25702418522 38553627783 51404837044 77107255566 154214511132