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2942001400 = 2352138313633
BaseRepresentation
bin1010111101011011…
…0110000011111000
321121000220011012211
42233112312003320
522011123021100
61203533144504
7132622412362
oct25726660370
97530804184
102942001400
11127a757218
126a132b134
1337b688540
141dca29d32
151234391ba
hexaf5b60f8

2942001400 has 96 divisors (see below), whose sum is σ = 7455616560. Its totient is φ = 1073111040.

The previous prime is 2942001389. The next prime is 2942001407. The reversal of 2942001400 is 41002492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942001407) 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, 208984 + ... + 222616.

Almost surely, 22942001400 is an apocalyptic number.

2942001400 is a gapful number since it is divisible by the number (20) 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 2942001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727808280).

2942001400 is an abundant number, since it is smaller than the sum of its proper divisors (4513615160).

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

2942001400 is a wasteful number, since it uses less digits than its factorization.

2942001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2942001400 is about 54240.2193948365. The cubic root of 2942001400 is about 1432.8947507355.

Adding to 2942001400 its reverse (41002492), we get a palindrome (2983003892).

The spelling of 2942001400 in words is "two billion, nine hundred forty-two million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 83 100 104 130 166 200 260 325 332 415 520 650 664 830 1079 1300 1660 2075 2158 2600 3320 4150 4316 5395 8300 8632 10790 13633 16600 21580 26975 27266 43160 53950 54532 68165 107900 109064 136330 177229 215800 272660 340825 354458 545320 681650 708916 886145 1131539 1363300 1417832 1772290 2263078 2726600 3544580 4430725 4526156 5657695 7089160 8861450 9052312 11315390 14710007 17722900 22630780 28288475 29420014 35445800 45261560 56576950 58840028 73550035 113153900 117680056 147100070 226307800 294200140 367750175 588400280 735500350 1471000700 2942001400